CN115577909A - Scheduling method of park integrated energy system considering price-based demand response and V2G - Google Patents

Scheduling method of park integrated energy system considering price-based demand response and V2G Download PDF

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CN115577909A
CN115577909A CN202211110927.1A CN202211110927A CN115577909A CN 115577909 A CN115577909 A CN 115577909A CN 202211110927 A CN202211110927 A CN 202211110927A CN 115577909 A CN115577909 A CN 115577909A
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何川
吕祥梅
南璐
刘天琪
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Abstract

The invention discloses a campus comprehensive energy system scheduling method considering price type demand response and V2G, which comprises the steps of firstly, establishing a V2G model, a combined heat and power demand response model and a carbon transaction model; then, considering electric power/natural gas/heat balance constraint, operation constraint and main network exchange power constraint, and aiming at maximizing social welfare of the park, establishing a low-carbon economic deterministic day-ahead scheduling model of the park integrated energy system; and finally, considering the uncertainty of wind power/photovoltaic output and the uncertainty of electric/thermal load, providing a two-stage robust optimization scheduling model, and solving by using a dual transformation, an extreme point method and a CCG method. Example analysis shows that the model can effectively improve the flexibility of the system, reduce carbon emission, maintain the safety of the system under various uncertain conditions and provide a low-carbon, economic and safe scheduling scheme.

Description

考虑价格型需求响应和V2G的园区综合能源系统调度方法Scheduling method of park integrated energy system considering price-based demand response and V2G

技术领域technical field

本发明属于综合能源系统优化运行技术领域,特别涉及一种考虑价格型需求响应和V2G的园区综合能源系统调度方法。The invention belongs to the technical field of integrated energy system optimization operation, and in particular relates to a park integrated energy system scheduling method considering price-based demand response and V2G.

背景技术Background technique

近年来,随着全球能源危机和环境问题的加剧,发展清洁能源、提高能源质量已成为各国的共识。世界各国的电力行业正在向可持续能源系统过渡,风能和太阳能等可再生能源的普及率正在增加。园区综合能源系统(IES)是能源互联网最直观的表现形式,它耦合了多个能源系统,提高了能源利用率,降低了能源系统的运营成本。IES有望成为能源开发的关键。然而,随着可再生能源的日益普及,IES的供需平衡出现了新的挑战,可再生能源发电的不确定性亟待解决。在这种背景下,研究考虑不确定性的园区综合能源系统低碳鲁棒经济调度问题具有重要意义。In recent years, with the intensification of the global energy crisis and environmental problems, it has become the consensus of all countries to develop clean energy and improve energy quality. The power sector in countries around the world is transitioning to a sustainable energy system, and the penetration of renewable energy sources such as wind and solar is increasing. The integrated energy system (IES) of the park is the most intuitive form of the energy Internet. It couples multiple energy systems, improves energy utilization, and reduces the operating costs of energy systems. IES is expected to be the key to energy development. However, with the increasing popularity of renewable energy, new challenges have emerged in the supply and demand balance of IES, and the uncertainty of renewable energy power generation needs to be resolved urgently. In this context, it is of great significance to study the low-carbon robust economic dispatching problem of park integrated energy system considering uncertainty.

不确定性会影响IES规划和调度的容量配置、系统成本和运行特性。大多数学者采用随机优化来处理IES的不确定性,但是该解决方案无法保证系统在最坏情况下的安全运行。虽然区间优化、模糊优化和混合优化等方法不断被提出,但是关于园区综合能源系统的两阶段鲁棒日前调度的工作依然相当有限。同时,随着需求响应技术的不断成熟,需求响应逐渐成为提高IES运行效率的有效手段,且价格型联合热电需求响应与V2G(Vehicle-to-grid汽车到电网)一起参与IES的低碳经济调度值得深入研究。此外,园区综合能源系统的低碳经济运行需要各种低碳技术的共同作用和合理的市场机制。但目前大多通过优化碳捕集系统、热电联产机组和电转气设备的协调运行来减少碳排放,没有进一步研究碳交易机制或整个碳利用循环对碳排放的影响。Uncertainty affects capacity allocation, system cost, and operational characteristics for IES planning and scheduling. Most scholars use stochastic optimization to deal with the uncertainty of IES, but this solution cannot guarantee the safe operation of the system in the worst case. Although methods such as interval optimization, fuzzy optimization, and hybrid optimization have been proposed continuously, the work on the two-stage robust day-ahead scheduling of park integrated energy systems is still quite limited. At the same time, with the continuous maturity of demand response technology, demand response has gradually become an effective means to improve the operating efficiency of IES, and price-based combined heat and power demand response and V2G (Vehicle-to-grid vehicles to grid) participate in the low-carbon economic dispatch of IES It's worth digging into. In addition, the low-carbon economic operation of the park's comprehensive energy system requires the joint action of various low-carbon technologies and a reasonable market mechanism. However, at present, carbon emissions are mostly reduced by optimizing the coordinated operation of carbon capture systems, cogeneration units, and power-to-gas equipment. There is no further study of the carbon trading mechanism or the impact of the entire carbon utilization cycle on carbon emissions.

因此,在含热电联产机组、燃气机组、电锅炉和电转气等耦合设备的园区综合能源系统组成基础上,引入价格型联合热电需求响应和V2G技术,进一步研究碳交易机制和整个碳利用循环对碳排放的影响以及考虑风光出力和负荷的不确定性对园区综合能源系统低碳鲁棒经济调度具有重要意义。Therefore, on the basis of the comprehensive energy system composition of the park including cogeneration units, gas units, electric boilers, and power-to-gas coupling equipment, price-based combined heat and power demand response and V2G technology are introduced to further study the carbon trading mechanism and the entire carbon utilization cycle. The impact on carbon emissions and the uncertainty of wind power output and load are of great significance to the low-carbon robust economic dispatch of the integrated energy system in the park.

发明内容Contents of the invention

本发明所要解决的技术问题是提供一种考虑价格型需求响应和V2G的园区综合能源系统调度方法,该方法利用价格型联合热电需求响应和V2G技术提高了园区基础场景的能源利用率和安全性。通过碳捕集设备、碳储存设备和电转气设备的协调运行,系统内形成碳利用循环,降低系统碳排放。整个园区综合能源系统低碳鲁棒经济调度模型不仅可以促进可再生能源发电和低碳运行,还可以在最坏情况下维护系统安全和碳排放。The technical problem to be solved by the present invention is to provide a park integrated energy system dispatching method considering price-based demand response and V2G, which improves the energy utilization rate and security of the park’s basic scene by using price-based combined heat and power demand response and V2G technology . Through the coordinated operation of carbon capture equipment, carbon storage equipment and power-to-gas equipment, a carbon utilization cycle is formed in the system to reduce system carbon emissions. The low-carbon robust economic dispatch model of the whole park integrated energy system can not only promote renewable energy power generation and low-carbon operation, but also maintain system security and carbon emissions under worst-case conditions.

为解决上述技术问题,本发明采用的技术方案是:In order to solve the problems of the technologies described above, the technical solution adopted in the present invention is:

一种考虑价格型需求响应和V2G的园区综合能源系统调度方法,包括以下步骤:A park integrated energy system scheduling method considering price-based demand response and V2G, including the following steps:

步骤1:分别对价格型联合热电需求响应、V2G和碳交易进行建模,计及园区能量平衡约束、运行约束、储热/储气约束和与主网功率交换约束,以最大化社会福利为目标构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型;Step 1: Model the price-based combined heat and power demand response, V2G and carbon trading respectively, taking into account the park energy balance constraints, operation constraints, heat storage/gas storage constraints and power exchange constraints with the main grid, in order to maximize social welfare as The goal is to build a deterministic model of low-carbon economic scheduling of the park's comprehensive energy system considering price-based combined heat and power demand response and V2G;

步骤2:通过热电联产机组、燃气轮机、碳捕集设备、碳储存设备和电转气设备形成一个考虑碳排放、碳捕集、碳储存、碳交易和碳消耗的完整园区综合能源系统碳利用循环,并对碳流进行建模;Step 2: Through cogeneration units, gas turbines, carbon capture equipment, carbon storage equipment, and power-to-gas equipment, a complete park comprehensive energy system carbon utilization cycle that considers carbon emissions, carbon capture, carbon storage, carbon trading, and carbon consumption is formed. , and model the carbon flow;

步骤3:在考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型基础上,引入两阶段鲁棒优化处理园区风光出力和电/热负荷不确定性问题,构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型;Step 3: Based on the deterministic model of low-carbon economic dispatch of park integrated energy system considering the price-based combined heat and power demand response and V2G, introduce two-stage robust optimization to deal with the park's wind power output and electricity/heat load uncertainty, and construct a consideration A low-carbon robust economic dispatch model for the integrated energy system of parks based on price-based combined heat and power demand response and V2G;

步骤4:将所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的双层最大最小子问题转换为单层极大问题,并用极值点法求解单层极大问题内的双线性优化问题,最后用列和约束生成法对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解;Step 4: Transform the double-layer maximum-minimum sub-problem of the low-carbon robust economic dispatch model of the park integrated energy system considering price-type combined heat and power demand response and V2G into a single-layer maximal problem, and use the extreme point method to solve the single-layer problem The bilinear optimization problem within the extremely large problem, and finally use the column sum constraint generation method to solve the low-carbon robust economic dispatch model of the park integrated energy system considering the price-type joint heat and power demand response and V2G;

步骤5:输入园区综合能源系统数据、设备参数、运行参数,采用商业求解器GUROBI对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解,得到园区综合能源系统低碳经济鲁棒调度优化结果。Step 5: Input the park comprehensive energy system data, equipment parameters, and operating parameters, and use the commercial solver GUROBI to solve the low-carbon robust economic dispatch model of the park comprehensive energy system considering price-type joint heat and power demand response and V2G, and obtain the park comprehensive energy System low-carbon economy robust scheduling optimization results.

进一步的,步骤1所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型具体如下:Further, the deterministic model of low-carbon economic scheduling of the integrated energy system of the park considering the price-based combined heat and power demand response and V2G in step 1 is as follows:

(1)目标函数:(1) Objective function:

Figure BDA0003843096530000039
Figure BDA0003843096530000039

Figure BDA0003843096530000031
Figure BDA0003843096530000031

Figure BDA0003843096530000032
Figure BDA0003843096530000032

Figure BDA0003843096530000033
Figure BDA0003843096530000033

Figure BDA0003843096530000034
Figure BDA0003843096530000034

Figure BDA0003843096530000035
Figure BDA0003843096530000035

式中:Cdr为价格型联合热电需求响应获得的收益;

Figure BDA0003843096530000036
为二氧化碳相关成本;Co为园区运行成本;Ccur为弃风/光惩罚成本;Closs为失负荷惩罚成本;t为调度时间;e表示电负荷;h表示热负荷;k为分段数;
Figure BDA0003843096530000037
Figure BDA0003843096530000038
分别表示第k段的需求响应电负荷e和热负荷h在t时刻的投标价格;Pekt表示第k段的需求响应电负荷e在t时刻的电功率,Hhkt表示第k段的需求响应热负荷h在t时刻的热功率;Ctran为碳交易价格;Dt表示园区t时刻的碳排放配额;
Figure BDA0003843096530000041
表示园区t时刻的碳排放量;Cbuy表示向碳市场购碳的单位价格;Csell表示向碳市场售碳的单位价格;
Figure BDA0003843096530000042
表示t时刻购碳量;
Figure BDA00038430965300000426
表示t时刻售碳量;
Figure BDA0003843096530000043
Figure BDA0003843096530000044
分别表示园区向上级电网购电价格和售电价格;
Figure BDA0003843096530000045
Figure BDA0003843096530000046
分别表示园区向上级电网购电率和售电功率;
Figure BDA0003843096530000047
为购气价;
Figure BDA0003843096530000048
为园区向上级气网购气功率;r和w分别为风机和光伏的索引;
Figure BDA0003843096530000049
Figure BDA00038430965300000410
分别表示弃风和弃光惩罚单位价格;
Figure BDA00038430965300000411
Figure BDA00038430965300000412
分别表示园区t时刻的弃风功率和弃光功率;
Figure BDA00038430965300000413
Figure BDA00038430965300000414
分别表示失电负荷的惩罚价格和失热负荷的惩罚价格;vet和vht分别表示失电负荷变量和失热负荷变量;In the formula: C dr is the income obtained by the price type combined heat and power demand response;
Figure BDA0003843096530000036
C o is the operating cost of the park; C cur is the wind/light penalty cost; C loss is the load loss penalty cost; t is the scheduling time; e is the electric load; h is the heat load; k is the number of segments ;
Figure BDA0003843096530000037
and
Figure BDA0003843096530000038
Respectively represent the bidding price of demand response electric load e and heat load h of segment k at time t; P ekt represents the electric power of demand response electric load e of segment k at time t, H hkt represents the demand response heat of segment k The thermal power of load h at time t; C tran is the carbon trading price; D t is the carbon emission quota of the park at time t;
Figure BDA0003843096530000041
Indicates the carbon emissions of the park at time t; C buy indicates the unit price of carbon purchased from the carbon market; C sell indicates the unit price of carbon sold to the carbon market;
Figure BDA0003843096530000042
Indicates the amount of carbon purchased at time t;
Figure BDA00038430965300000426
Indicates the amount of carbon sold at time t;
Figure BDA0003843096530000043
and
Figure BDA0003843096530000044
Respectively represent the park's electricity purchase price and electricity sales price from the upper grid;
Figure BDA0003843096530000045
and
Figure BDA0003843096530000046
Respectively represent the power purchase rate and power sales power from the park to the upper grid;
Figure BDA0003843096530000047
is the gas purchase price;
Figure BDA0003843096530000048
Purchase gas power from the superior gas network for the park; r and w are the indexes of wind turbine and photovoltaic respectively;
Figure BDA0003843096530000049
and
Figure BDA00038430965300000410
Respectively represent the unit price of wind curtailment and solar curtailment penalty;
Figure BDA00038430965300000411
and
Figure BDA00038430965300000412
Respectively represent the curtailed wind power and curtailed optical power of the park at time t;
Figure BDA00038430965300000413
and
Figure BDA00038430965300000414
Respectively represent the penalty price of power loss load and the penalty price of heat loss load; v et and v ht represent the variables of power loss load and heat loss load respectively;

(2)约束条件:(2) Constraints:

(2.1)价格型联合热电需求响应约束(2.1) Price-type combined heat and power demand response constraints

当需求响应投标价格小于分时电价时,价格型可响应负荷参与园区运行调度;可响应负荷为正值时表示电负荷被削减或者转移到其他运行时刻,可响应负荷为负值时表示该时刻获得从其他时刻转移的负荷而增加:When the bidding price of demand response is less than the time-of-use electricity price, the price-type responsive load participates in the operation scheduling of the park; when the responsive load is positive, it means that the electric load is cut or transferred to other operating time, and when the responsive load is negative, it means this time Get the load shifted from other moments while increasing:

Figure BDA00038430965300000415
Figure BDA00038430965300000415

Figure BDA00038430965300000416
Figure BDA00038430965300000416

Figure BDA00038430965300000417
Figure BDA00038430965300000417

Figure BDA00038430965300000418
Figure BDA00038430965300000418

Figure BDA00038430965300000419
Figure BDA00038430965300000419

Figure BDA00038430965300000420
Figure BDA00038430965300000420

Figure BDA00038430965300000421
Figure BDA00038430965300000421

Figure BDA00038430965300000422
Figure BDA00038430965300000422

Figure BDA00038430965300000423
Figure BDA00038430965300000423

Figure BDA00038430965300000424
Figure BDA00038430965300000424

Figure BDA00038430965300000425
Figure BDA00038430965300000425

Figure BDA0003843096530000051
Figure BDA0003843096530000051

Figure BDA0003843096530000052
Figure BDA0003843096530000052

Figure BDA0003843096530000053
Figure BDA0003843096530000053

Figure BDA0003843096530000054
Figure BDA0003843096530000054

Figure BDA0003843096530000055
Figure BDA0003843096530000055

式中:

Figure BDA0003843096530000056
Figure BDA0003843096530000057
分别表示电负荷转入时间和转出时间;
Figure BDA0003843096530000058
Figure BDA0003843096530000059
分别表示电负荷最小转入时间和转出时间;Yet和Ye,t-1分别表示t时刻和t-1时刻电负荷转移状态的0-1变量,转出为1,转入为0;Pet表示园区实际电负荷功率;
Figure BDA00038430965300000510
表示预测电负荷功率;Pekt表示电负荷在第k段t时刻的电功率;
Figure BDA00038430965300000511
表示可响应电负荷;
Figure BDA00038430965300000512
表示第k段最大电功率;M为足够大的正数;αet表示可响应电负荷比例;;
Figure BDA00038430965300000513
表示t时刻最大电负荷功率;
Figure BDA00038430965300000514
表示电负荷整体消减量;
Figure BDA00038430965300000515
Figure BDA00038430965300000516
分别表示热负荷转入时间和转出时间;
Figure BDA00038430965300000517
Figure BDA00038430965300000518
分别表示热负荷最小转入时间和转出时间;Yht和Yh,t-1分别表示t时刻和t-1时刻热负荷转移状态的0-1变量,转出为1,转入为0;Hht表示园区实际热负荷功率;;
Figure BDA00038430965300000519
表示预测热负荷功率;Hhkt表示热负荷在第k段t时刻的热功率;
Figure BDA00038430965300000520
表示可响应热负荷;
Figure BDA00038430965300000521
表示第k段最大热功率;αht表示可响应热负荷比例;
Figure BDA00038430965300000522
表示t时刻最大热负荷功率;
Figure BDA00038430965300000523
表示热负荷整体消减量;In the formula:
Figure BDA0003843096530000056
and
Figure BDA0003843096530000057
Respectively represent the transfer-in time and transfer-out time of electric load;
Figure BDA0003843096530000058
and
Figure BDA0003843096530000059
Indicate the minimum transfer-in time and transfer-out time of the electric load respectively; Y et and Y e,t-1 represent the 0-1 variables of the electric load transfer state at time t and t-1 respectively, the transfer-out is 1, and the transfer-in is 0 ; P et represents the actual electric load power of the park;
Figure BDA00038430965300000510
Indicates the predicted electric load power; P ekt represents the electric power of the electric load at the kth segment t time;
Figure BDA00038430965300000511
Indicates that it can respond to electrical loads;
Figure BDA00038430965300000512
Indicates the maximum electric power of the kth section; M is a sufficiently large positive number; αet represents the proportion of the electric load that can be responded to;;
Figure BDA00038430965300000513
Indicates the maximum electric load power at time t;
Figure BDA00038430965300000514
Indicates the overall reduction of electric load;
Figure BDA00038430965300000515
and
Figure BDA00038430965300000516
Respectively represent the heat load transfer-in time and transfer-out time;
Figure BDA00038430965300000517
and
Figure BDA00038430965300000518
respectively represent the minimum heat load transfer-in time and transfer-out time; Y ht and Y h,t-1 respectively represent the 0-1 variable of the heat load transfer state at time t and t-1, the transfer-out is 1, and the transfer-in is 0 ; H ht represents the actual heat load power of the park;
Figure BDA00038430965300000519
Indicates the predicted thermal load power; H hkt indicates the thermal power of the thermal load at the kth segment t time;
Figure BDA00038430965300000520
Indicates that it can respond to thermal load;
Figure BDA00038430965300000521
Indicates the maximum thermal power of section k; α ht indicates the proportion of responsive thermal load;
Figure BDA00038430965300000522
Indicates the maximum thermal load power at time t;
Figure BDA00038430965300000523
Indicates the overall reduction of heat load;

(2.2)V2G约束(2.2) V2G constraints

Figure BDA00038430965300000524
Figure BDA00038430965300000524

Figure BDA00038430965300000525
Figure BDA00038430965300000525

Figure BDA00038430965300000526
Figure BDA00038430965300000526

Figure BDA00038430965300000527
Figure BDA00038430965300000527

Figure BDA00038430965300000528
Figure BDA00038430965300000528

Figure BDA00038430965300000529
Figure BDA00038430965300000529

Figure BDA00038430965300000530
Figure BDA00038430965300000530

Figure BDA00038430965300000531
Figure BDA00038430965300000531

Figure BDA0003843096530000061
Figure BDA0003843096530000061

式中:l为电动汽车的索引;

Figure BDA0003843096530000062
表示电动汽车充电状态,充电为1,否则为0;
Figure BDA0003843096530000063
表示电动汽车放电状态,放电为1,否则为0;
Figure BDA0003843096530000064
为接入时刻和充放电时间之和;
Figure BDA0003843096530000065
分别表示电动汽车充、放电功率;
Figure BDA0003843096530000066
分别表示电动汽车额定充电效率和放电功率;
Figure BDA0003843096530000067
表示电动汽车接入时刻的0-1变量,接入时刻为1,其余时刻为0;M表示足够大正数;
Figure BDA0003843096530000068
表示电动汽车电池荷电状态;
Figure BDA0003843096530000069
表示电动汽车初始荷电状态;
Figure BDA00038430965300000610
表示电动汽车t-1时刻的电池荷电状态;
Figure BDA00038430965300000611
Figure BDA00038430965300000612
分别表示电动汽车充电效率和放电效率;
Figure BDA00038430965300000613
表示电动汽车电池容量;
Figure BDA00038430965300000614
表示电动汽车离开时刻,离开时刻为1,其余时刻为0;
Figure BDA00038430965300000615
表示电动汽车离开时刻电池荷电状态;
Figure BDA00038430965300000616
Figure BDA00038430965300000617
分别表示电池荷电状态的下限和上限;In the formula: l is the index of the electric vehicle;
Figure BDA0003843096530000062
Indicates the charging state of the electric vehicle, 1 for charging, 0 otherwise;
Figure BDA0003843096530000063
Indicates the discharge state of the electric vehicle, discharge is 1, otherwise it is 0;
Figure BDA0003843096530000064
is the sum of access time and charging and discharging time;
Figure BDA0003843096530000065
Respectively represent the charging and discharging power of electric vehicles;
Figure BDA0003843096530000066
respectively represent the rated charging efficiency and discharging power of electric vehicles;
Figure BDA0003843096530000067
Indicates the 0-1 variable of the access time of the electric vehicle, the access time is 1, and the rest of the time is 0; M indicates a sufficiently large positive number;
Figure BDA0003843096530000068
Indicates the state of charge of the electric vehicle battery;
Figure BDA0003843096530000069
Indicates the initial state of charge of the electric vehicle;
Figure BDA00038430965300000610
Indicates the state of charge of the battery at time t-1 of the electric vehicle;
Figure BDA00038430965300000611
and
Figure BDA00038430965300000612
Respectively represent the charging efficiency and discharging efficiency of electric vehicles;
Figure BDA00038430965300000613
Indicates the battery capacity of electric vehicles;
Figure BDA00038430965300000614
Indicates the departure time of the electric vehicle, the departure time is 1, and the rest of the time is 0;
Figure BDA00038430965300000615
Indicates the state of charge of the battery when the electric vehicle leaves;
Figure BDA00038430965300000616
and
Figure BDA00038430965300000617
Respectively represent the lower limit and upper limit of the battery state of charge;

(2.3)碳捕集和碳储存约束(2.3) Carbon capture and storage constraints

Figure BDA00038430965300000618
Figure BDA00038430965300000618

Figure BDA00038430965300000619
Figure BDA00038430965300000619

Figure BDA00038430965300000620
Figure BDA00038430965300000620

Figure BDA00038430965300000621
Figure BDA00038430965300000621

Figure BDA00038430965300000622
Figure BDA00038430965300000622

Figure BDA00038430965300000623
Figure BDA00038430965300000623

Figure BDA00038430965300000624
Figure BDA00038430965300000624

Figure BDA00038430965300000625
Figure BDA00038430965300000625

Figure BDA00038430965300000626
Figure BDA00038430965300000626

Figure BDA00038430965300000627
Figure BDA00038430965300000627

Figure BDA00038430965300000628
Figure BDA00038430965300000628

Figure BDA00038430965300000629
Figure BDA00038430965300000629

Figure BDA0003843096530000071
Figure BDA0003843096530000071

Figure BDA0003843096530000072
Figure BDA0003843096530000072

式中:

Figure BDA0003843096530000073
表示园区t时刻的碳排放量;p、q分别为CHP和燃气轮机的索引;
Figure BDA0003843096530000074
表示第p台CHP在t时刻的碳排放量;
Figure BDA0003843096530000075
表示第q台燃气轮机在t时刻的碳排放量;
Figure BDA0003843096530000076
表示从上级电网购电产生的碳排放量;i为碳捕集机组的索引;
Figure BDA0003843096530000077
表示第i台碳捕集机组捕集的二氧化碳量;
Figure BDA0003843096530000078
Figure BDA0003843096530000079
分别为储碳设备的碳存入量和输出量;
Figure BDA00038430965300000710
表示园区t时刻的购碳量;m为P2G的索引;
Figure BDA00038430965300000711
表示第m台P2G在t时刻的碳消耗量;
Figure BDA00038430965300000712
表示园区t时刻的售碳量;
Figure BDA00038430965300000713
为碳捕集率;
Figure BDA00038430965300000714
和μupper分别表示CHP、燃气轮机和主网的碳排放强度;
Figure BDA00038430965300000715
Figure BDA00038430965300000716
分别表示CHP和燃气轮机在t时刻的出力;
Figure BDA00038430965300000717
表示生成单位功率天然气需要的二氧化碳量;
Figure BDA00038430965300000718
表示第m台P2G的电转气效率;
Figure BDA00038430965300000719
表示第m台P2G在t时刻的耗电功率;LHANG表示天然气低热值;
Figure BDA00038430965300000720
表示储碳设备储碳量;
Figure BDA00038430965300000721
表示储碳设备在t-1时刻的储碳量;ηs为储碳损耗系数;Cs,min和Cs,max分别表示储碳设备的最小储碳量和最大储碳量;Min,min和Min,max表示储碳设备最小碳存入量和最大碳存入量;Mout,min和Mout,max为储碳设备最小碳输出量和最大碳输出量;Mb,max表示园区外购碳量的最大值;Ms,max表示园区售碳量的最大值;
Figure BDA00038430965300000722
表示第i台碳捕集机组t时刻的耗电功率;θ为处理单位二氧化碳的能耗;
Figure BDA00038430965300000723
表示碳捕集设备启停状态,开机为1,关机为0;
Figure BDA00038430965300000724
表示碳捕集设备的固定能耗;In the formula:
Figure BDA0003843096530000073
Indicates the carbon emissions of the park at time t; p and q are the indexes of CHP and gas turbine respectively;
Figure BDA0003843096530000074
Indicates the carbon emission of the pth CHP at time t;
Figure BDA0003843096530000075
Indicates the carbon emission of the qth gas turbine at time t;
Figure BDA0003843096530000076
Indicates the carbon emissions generated by purchasing electricity from the upper-level grid; i is the index of the carbon capture unit;
Figure BDA0003843096530000077
Indicates the amount of carbon dioxide captured by the i-th carbon capture unit;
Figure BDA0003843096530000078
and
Figure BDA0003843096530000079
are the carbon storage and output of carbon storage equipment, respectively;
Figure BDA00038430965300000710
Indicates the amount of carbon purchased in the park at time t; m is the index of P2G;
Figure BDA00038430965300000711
Indicates the carbon consumption of the mth P2G at time t;
Figure BDA00038430965300000712
Indicates the amount of carbon sold in the park at time t;
Figure BDA00038430965300000713
is the carbon capture rate;
Figure BDA00038430965300000714
and μ upper represent the carbon emission intensity of CHP, gas turbine and main network respectively;
Figure BDA00038430965300000715
and
Figure BDA00038430965300000716
respectively represent the output of CHP and gas turbine at time t;
Figure BDA00038430965300000717
Indicates the amount of carbon dioxide required to generate unit power of natural gas;
Figure BDA00038430965300000718
Indicates the power-to-gas efficiency of the mth P2G;
Figure BDA00038430965300000719
Indicates the power consumption of the mth P2G at time t; L HANG indicates the low calorific value of natural gas;
Figure BDA00038430965300000720
Indicates the carbon storage capacity of the carbon storage equipment;
Figure BDA00038430965300000721
Indicates the carbon storage capacity of the carbon storage equipment at time t-1; η s is the carbon storage loss coefficient; C s,min and C s,max respectively represent the minimum carbon storage capacity and maximum carbon storage capacity of the carbon storage equipment; Min , min and M in,max represent the minimum carbon storage and maximum carbon storage of carbon storage equipment; M out,min and M out,max are the minimum carbon output and maximum carbon output of carbon storage equipment; M b,max represent The maximum amount of purchased carbon in the park; M s,max represents the maximum amount of carbon sold in the park;
Figure BDA00038430965300000722
Indicates the power consumption of the i-th carbon capture unit at time t; θ is the energy consumption per unit of carbon dioxide;
Figure BDA00038430965300000723
Indicates the start-stop status of the carbon capture equipment, 1 for power-on and 0 for power-off;
Figure BDA00038430965300000724
Indicates the fixed energy consumption of carbon capture equipment;

(2.4)能量平衡约束(2.4) Energy balance constraints

Figure BDA00038430965300000725
Figure BDA00038430965300000725

Figure BDA00038430965300000726
Figure BDA00038430965300000726

式中:

Figure BDA00038430965300000727
Figure BDA00038430965300000728
分别表示第r台风机和第w台光伏t时刻的出力;Pet为t时刻考虑需求响应后的实际电负荷量;n为电锅炉的索引;
Figure BDA00038430965300000729
表示第n台电锅炉在t时刻的耗电功率;
Figure BDA0003843096530000081
为第m台P2G在t时刻产生的气功率;
Figure BDA0003843096530000082
Figure BDA0003843096530000083
分别为储气设备t时刻储存和释放的气功率;
Figure BDA0003843096530000084
Figure BDA0003843096530000085
分别为CHP和燃气轮机消耗的气功率;ηheat为园区的热能利用率;
Figure BDA0003843096530000086
Figure BDA0003843096530000087
分别为CHP和电锅炉的产热功率;
Figure BDA0003843096530000088
Figure BDA0003843096530000089
分别为储热设备储存和释放的热功率。In the formula:
Figure BDA00038430965300000727
and
Figure BDA00038430965300000728
Respectively represent the output of the rth wind turbine and the wth photovoltaic unit at time t; P et is the actual electric load after considering demand response at time t; n is the index of the electric boiler;
Figure BDA00038430965300000729
Indicates the power consumption of the nth electric boiler at time t;
Figure BDA0003843096530000081
is the gas power generated by the m-th P2G at time t;
Figure BDA0003843096530000082
and
Figure BDA0003843096530000083
are the gas power stored and released by the gas storage equipment at time t, respectively;
Figure BDA0003843096530000084
and
Figure BDA0003843096530000085
are the gas power consumed by CHP and gas turbine respectively; η heat is the thermal energy utilization rate of the park;
Figure BDA0003843096530000086
and
Figure BDA0003843096530000087
are the heat production power of CHP and electric boiler, respectively;
Figure BDA0003843096530000088
and
Figure BDA0003843096530000089
are the thermal power stored and released by the heat storage device, respectively.

(2.5)与主网功率交换约束(2.5) Power exchange constraints with the main network

Figure BDA00038430965300000810
Figure BDA00038430965300000810

Figure BDA00038430965300000811
Figure BDA00038430965300000811

Figure BDA00038430965300000812
Figure BDA00038430965300000812

式中:Pin,min和Pin,max分别表示从主网购电的最小和最大电功率;Pout,min和Pout,max分别为向主网售电的最小和最大电功率;Gin,min和Gin,max分别为从主网购气的最小和最大气功率;In the formula: P in,min and P in,max respectively represent the minimum and maximum electric power purchased from the main network; P out,min and P out,max are the minimum and maximum electric power sold to the main network; G in,min and G in,max are the minimum and maximum gas power purchased from the main network, respectively;

(2.6)弃风光约束和失负荷约束(2.6) Abandoned wind and light constraints and lost load constraints

Figure BDA00038430965300000813
Figure BDA00038430965300000813

Figure BDA00038430965300000814
Figure BDA00038430965300000814

Figure BDA00038430965300000815
Figure BDA00038430965300000815

Figure BDA00038430965300000816
Figure BDA00038430965300000816

式中:

Figure BDA00038430965300000817
Figure BDA00038430965300000818
分别为允许的弃风比例、弃光比例、失电负荷比例和失热负荷比例;In the formula:
Figure BDA00038430965300000817
and
Figure BDA00038430965300000818
Respectively, the allowable wind curtailment ratio, solar curtailment ratio, power loss load ratio and heat loss load ratio;

(2.7)运行约束(2.7) Operational constraints

(2.7.1)CHP运行约束(2.7.1) CHP operation constraints

Figure BDA00038430965300000819
Figure BDA00038430965300000819

Figure BDA00038430965300000820
Figure BDA00038430965300000820

Figure BDA00038430965300000821
Figure BDA00038430965300000821

Figure BDA00038430965300000822
Figure BDA00038430965300000822

Figure BDA00038430965300000823
Figure BDA00038430965300000823

Figure BDA0003843096530000091
Figure BDA0003843096530000091

Figure BDA0003843096530000092
Figure BDA0003843096530000092

Figure BDA0003843096530000093
Figure BDA0003843096530000093

Figure BDA0003843096530000094
Figure BDA0003843096530000094

式中:

Figure BDA0003843096530000095
Figure BDA0003843096530000096
分别为CHP内溴冷机的制热系数和烟气回收率;
Figure BDA0003843096530000097
为CHP内微燃机的发电效率;
Figure BDA0003843096530000098
为散热损失率;
Figure BDA0003843096530000099
Figure BDA00038430965300000910
分别为CHP的开机成本和关机成本;
Figure BDA00038430965300000911
Figure BDA00038430965300000912
分别为CHP单次开机成本和关机成本;
Figure BDA00038430965300000913
Figure BDA00038430965300000914
分别为CHP在t时刻和t-1时刻的开关机状态,开机为1,关机为0;
Figure BDA00038430965300000915
Figure BDA00038430965300000916
分别为CHP出力的最小电功率和最大电功率;
Figure BDA00038430965300000917
为CHP在t-1时刻的出力;
Figure BDA00038430965300000918
Figure BDA00038430965300000919
分别为CHP的上爬坡率和下爬坡率;
Figure BDA00038430965300000920
分别为CHP的连续开机和关机时间;
Figure BDA00038430965300000921
分别为CHP的最小开机时间和最小关机时间;In the formula:
Figure BDA0003843096530000095
and
Figure BDA0003843096530000096
Respectively, the heating coefficient and flue gas recovery rate of the CHP internal bromine refrigerator;
Figure BDA0003843096530000097
is the power generation efficiency of the CHP internal micro-combustion engine;
Figure BDA0003843096530000098
is the heat loss rate;
Figure BDA0003843096530000099
and
Figure BDA00038430965300000910
are the start-up cost and shutdown cost of CHP, respectively;
Figure BDA00038430965300000911
and
Figure BDA00038430965300000912
Respectively, CHP single start-up cost and shutdown cost;
Figure BDA00038430965300000913
and
Figure BDA00038430965300000914
Respectively, the switching status of CHP at time t and time t-1, 1 for power-on and 0 for power-off;
Figure BDA00038430965300000915
and
Figure BDA00038430965300000916
Respectively, the minimum electric power and maximum electric power of CHP output;
Figure BDA00038430965300000917
is the contribution of CHP at time t-1;
Figure BDA00038430965300000918
and
Figure BDA00038430965300000919
Respectively, the up-slope rate and the down-slope rate of CHP;
Figure BDA00038430965300000920
Respectively, the continuous power-on and power-off time of CHP;
Figure BDA00038430965300000921
Respectively, the minimum power-on time and the minimum power-off time of CHP;

(2.7.2)燃气轮机运行约束(2.7.2) Gas turbine operating constraints

Figure BDA00038430965300000922
Figure BDA00038430965300000922

Figure BDA00038430965300000923
Figure BDA00038430965300000923

式中:F(·)为燃气轮机的热耗率曲线;

Figure BDA00038430965300000924
分别为CHP的开机成本和关机成本;
Figure BDA00038430965300000925
为燃气轮机出力最小值;
Figure BDA00038430965300000926
为燃气轮机在t时刻的开关机状态,开机为1,关机为0;
Figure BDA00038430965300000927
为燃气轮机在第k段的耗气增量;
Figure BDA00038430965300000928
为燃气轮机在t时刻第k段的电功率;In the formula: F( ) is the heat rate curve of the gas turbine;
Figure BDA00038430965300000924
are the start-up cost and shutdown cost of CHP, respectively;
Figure BDA00038430965300000925
It is the minimum output value of the gas turbine;
Figure BDA00038430965300000926
is the on/off state of the gas turbine at time t, 1 for power on and 0 for power off;
Figure BDA00038430965300000927
is the gas consumption increment of the gas turbine in the k-th section;
Figure BDA00038430965300000928
is the electric power of the gas turbine at the kth segment at time t;

(2.7.3)P2G运行约束(2.7.3) P2G operation constraints

Figure BDA00038430965300000929
Figure BDA00038430965300000929

Figure BDA00038430965300000930
Figure BDA00038430965300000930

式中:

Figure BDA0003843096530000101
为P2G的电转气效率;
Figure BDA0003843096530000102
Figure BDA0003843096530000103
分别为P2G的最小制气功率和最大制气功率;In the formula:
Figure BDA0003843096530000101
is the power-to-gas efficiency of P2G;
Figure BDA0003843096530000102
and
Figure BDA0003843096530000103
Respectively, the minimum gas production power and maximum gas production power of P2G;

(2.7.4)电锅炉运行约束(2.7.4) Electric Boiler Operation Constraints

Figure BDA0003843096530000104
Figure BDA0003843096530000104

Figure BDA0003843096530000105
Figure BDA0003843096530000105

式中:

Figure BDA0003843096530000106
为电锅炉的电制热效率;
Figure BDA0003843096530000107
分别为电锅炉的最小制热功率和最大制热功率;In the formula:
Figure BDA0003843096530000106
is the electric heating efficiency of the electric boiler;
Figure BDA0003843096530000107
Respectively, the minimum heating power and maximum heating power of the electric boiler;

(2.7.5)储气和储热设备运行约束(2.7.5) Operation constraints of gas storage and heat storage equipment

Figure BDA0003843096530000108
Figure BDA0003843096530000108

Figure BDA0003843096530000109
Figure BDA0003843096530000109

Figure BDA00038430965300001010
Figure BDA00038430965300001010

Figure BDA00038430965300001011
Figure BDA00038430965300001011

Figure BDA00038430965300001012
Figure BDA00038430965300001012

Figure BDA00038430965300001013
Figure BDA00038430965300001013

Figure BDA00038430965300001014
Figure BDA00038430965300001014

Figure BDA00038430965300001015
Figure BDA00038430965300001015

式中:

Figure BDA00038430965300001016
Figure BDA00038430965300001017
分别为储气设备的储气功率和放气功率;GGS,in,max和GGS,out,max分别为储气设备的最大储气功率和最大放气功率;
Figure BDA00038430965300001018
Figure BDA00038430965300001019
分别为储气设备在t时刻和t-1时刻的储气容量;ηCGS、ηGS,in和ηGS,out分别为储气设备自耗率、储气效率和放气效率;
Figure BDA00038430965300001020
Figure BDA00038430965300001021
分别为储热设备的储热功率和放热功率;HHS,in,max和HHS,out,max分别为储热设备的最大储热功率和最大放热功率;
Figure BDA00038430965300001022
Figure BDA00038430965300001023
分别为储热设备在t时刻和t-1时刻的储热容量;ηCHS、ηHS,in和ηHS,out分别为储热设备自耗率、储热效率和放热效率;In the formula:
Figure BDA00038430965300001016
and
Figure BDA00038430965300001017
are the gas storage power and gas discharge power of the gas storage equipment; G GS,in,max and G GS,out,max are the maximum gas storage power and maximum gas discharge power of the gas storage equipment;
Figure BDA00038430965300001018
and
Figure BDA00038430965300001019
are the gas storage capacity of the gas storage equipment at time t and t-1 respectively; η CGS , η GS,in and η GS,out are the self-consumption rate, gas storage efficiency and gas release efficiency of the gas storage equipment, respectively;
Figure BDA00038430965300001020
and
Figure BDA00038430965300001021
are the heat storage power and heat release power of the heat storage equipment, respectively; H HS,in,max and H HS,out,max are the maximum heat storage power and maximum heat release power of the heat storage equipment, respectively;
Figure BDA00038430965300001022
and
Figure BDA00038430965300001023
are the heat storage capacity of the heat storage equipment at time t and t-1, respectively; η CHS , η HS,in and η HS,out are the self-consumption rate, heat storage efficiency, and heat release efficiency of the heat storage equipment, respectively;

(2.8)一般向量形式(2.8) General vector form

将上述确定性优化调度模型写为一般向量形式:Write the above deterministic optimal scheduling model in general vector form:

Figure BDA0003843096530000111
Figure BDA0003843096530000111

s.t.Ax+By+Cv≤b,x∈{0,1}s.t.Ax+By+Cv≤b,x∈{0,1}

式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;

Figure BDA0003843096530000112
Figure BDA0003843096530000113
是目标函数的常系数向量;A、B、C和b分别为约束常系数矩阵和向量。In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure BDA0003843096530000112
and
Figure BDA0003843096530000113
is the constant coefficient vector of the objective function; A, B, C and b are constrained constant coefficient matrix and vector, respectively.

更进一步的,步骤2所述考虑碳排放、碳捕集、碳储存、碳交易和碳消耗的完整园区综合能源系统碳利用循环具体如下:Further, the carbon utilization cycle of the complete park integrated energy system considering carbon emission, carbon capture, carbon storage, carbon trading and carbon consumption mentioned in step 2 is as follows:

碳捕集设备捕集热电联产机组和燃气轮机运行过程中产生的二氧化碳,并将捕集到的二氧化碳直接供给电转气设备产生天然气,富余的二氧化碳存入储碳设备或直接与外界碳市场进行交易或直接排放。Carbon capture equipment captures carbon dioxide produced during the operation of cogeneration units and gas turbines, and supplies the captured carbon dioxide directly to power-to-gas equipment to generate natural gas. The excess carbon dioxide is stored in carbon storage equipment or directly traded with external carbon markets or direct discharge.

更进一步的,步骤3所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型具体如下:Furthermore, the low-carbon robust economic dispatch model of the park integrated energy system considering the price-based combined heat and power demand response and V2G in step 3 is as follows:

在考虑价格型需求响应和V2G的园区综合能源系统低碳经济调度确定性模型的基础上,考虑风光出力和负荷预测的不确定性的两阶段鲁棒调度模型如下式所示;该模型的第一阶段为基础场景下园区综合能源系统优化调度、电动汽车充放电状态和价格型需求响应转移状态等决策状态的最优调度方案,第二阶段是在第一阶段的调度方案基础上,根据风光出力波动和负荷实时值调整园区机组出力、V2G和需求响应负荷等以保证系统的安全运行;其中,最大最小子问题用来辨识不确定条件下可能导致园区最大安全越限的最坏场景;Based on the deterministic model of low-carbon economic scheduling of park integrated energy system considering price-based demand response and V2G, the two-stage robust scheduling model considering the uncertainty of wind power output and load forecasting is shown in the following formula; the first part of the model The first stage is the optimal dispatching scheme for decision-making states such as the optimal dispatching of the park’s comprehensive energy system, the charging and discharging state of electric vehicles, and the transition state of price-based demand response under the basic scenario. The second stage is based on the dispatching plan of the first stage, according to the Output fluctuations and load real-time values adjust park unit output, V2G, and demand response loads to ensure safe operation of the system; among them, the maximum and minimum sub-problems are used to identify the worst scenario that may lead to the maximum safety limit of the park under uncertain conditions;

Figure BDA0003843096530000114
Figure BDA0003843096530000114

s.t.Ax+By≤b,x∈{0,1}s.t.Ax+By≤b,x∈{0,1}

Figure BDA0003843096530000121
Figure BDA0003843096530000121

式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;

Figure BDA0003843096530000122
是目标函数的常系数向量;u为与风电、光伏出力不确定性和负荷值相关的不确定变量;F(x,y)为x与y相关的函数;εRO表示允许的安全阈值;A、B、C、D、E、F、G、f、b和g分别为约束常系数矩阵和向量。In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure BDA0003843096530000122
is the constant coefficient vector of the objective function; u is the uncertain variable related to wind power, photovoltaic output uncertainty and load value; F(x,y) is the function related to x and y; ε RO represents the allowable safety threshold; A , B, C, D, E, F, G, f, b and g are constrained constant coefficient matrix and vector, respectively.

更进一步的,步骤4所述利用对偶变换、极值点法和CCG法对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型求解的过程具体如下:Further, the process of solving the low-carbon robust economic dispatch model of the park integrated energy system considering the price-type combined heat and power demand response and V2G by using the dual transformation, extreme point method and CCG method described in step 4 is as follows:

(1)园区综合能源系统鲁棒调度主问题:(1) The main problem of robust scheduling of park integrated energy system:

鲁棒调度的主问题目标函数为最大化园区社会福利,约束条件包括基础场景约束以及最坏场景约束;最坏场景所对应的风电出力、光伏出力和负荷实际值

Figure BDA0003843096530000128
由第s次迭代中的子问题中求解得到,S为迭代的总次数;The objective function of the main problem of robust scheduling is to maximize the social welfare of the park, and the constraints include basic scenario constraints and worst scenario constraints; the worst scenario corresponds to wind power output, photovoltaic output and actual load values
Figure BDA0003843096530000128
It is obtained by solving the subproblems in the sth iteration, and S is the total number of iterations;

Figure BDA0003843096530000123
Figure BDA0003843096530000123

Ax+By≤b,x∈{0,1}Ax+By≤b,x∈{0,1}

Figure BDA0003843096530000124
Figure BDA0003843096530000124

Figure BDA0003843096530000125
Figure BDA0003843096530000125

式中,vs、zs

Figure BDA0003843096530000126
分别为失负荷量、系统连续变量和不确定性变量的第s次迭代值。In the formula, v s , z s and
Figure BDA0003843096530000126
are respectively the values of the lost load, the system continuous variables and the uncertain variables in the sth iteration.

(2)园区综合能源系统最坏场景识别子问题:(2) The worst scenario identification sub-problem of the integrated energy system of the park:

双层最大最小子问题是识别最坏场景的问题,寻找到造成系统最大违反安全规定值的场景,即确定最坏场景中不确定量的具体取值;其中,x*和y*由主问题得到,λ是线性不等式约束的对偶变量;The double-layer maximum-minimum sub-problem is the problem of identifying the worst scenario, finding the scenario that causes the maximum violation of the safety regulation value of the system, that is, determining the specific value of the uncertain quantity in the worst scenario; among them, x * and y * are determined by the main problem Obtained, λ is the dual variable of the linear inequality constraint;

Figure BDA0003843096530000127
Figure BDA0003843096530000127

Ez+Fv+Gu≤g-Cx*-Dy*:(λ)Ez+Fv+Gu≤g-Cx * -Dy * :(λ)

(3)将双层最大最小子问题利用对偶变换转换为单层最大化问题:(3) Transform the double-layer maximum-minimum subproblem into a single-layer maximization problem using dual transformation:

Figure BDA0003843096530000131
Figure BDA0003843096530000131

s.t.λTE≤fstλ T E ≤ f

λTF≤0λ T F ≤ 0

λ≤0λ≤0

(4)利用极值点法求解单层最大化问题内的双线性变量乘积λu问题:(4) Using the extreme point method to solve the bilinear variable product λu problem in the single-layer maximization problem:

Figure BDA0003843096530000132
Figure BDA0003843096530000132

λ=λ0+- λ=λ 0+-

β0+-=1β 0+- =1

0M≤λ0≤β0M0 M≤λ 0 ≤β 0 M

+M≤λ+≤β+M+ M≤λ + ≤β + M

-M≤λ-≤β-M- M≤λ - ≤β - M

式中:λ0,λ+和λ-为辅助连续变量,β0,β+和β-为辅助0-1变量,对应u取其不确定合集上限u+、均值ub、下限u-的情况;M为一个极大的数;In the formula: λ 0 , λ + and λ - are auxiliary continuous variables, β 0 , β + and β - are auxiliary 0-1 variables, corresponding to u take the upper limit u + , mean u b , and lower limit u - of the uncertain set situation; M is a very large number;

(5)CCG法求解提出的考虑价格型需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的具体流程:(5) The specific process of CCG method to solve the proposed low-carbon robust economic dispatch model of park integrated energy system considering price-based demand response and V2G:

步骤a:令迭代计数器s=0,设置系统允许的违反安全规定最大值εROStep a: Let the iteration counter s=0, and set the maximum value ε RO that the system allows to violate safety regulations;

步骤b:求解主问题,若有解,得到系统机组启停状态等决策状态x和机组出力安排y,进行步骤c;反之,停止迭代并输出无解;Step b: Solve the main problem. If there is a solution, obtain the decision state x such as the start-stop state of the system unit and the unit output arrangement y, and proceed to step c; otherwise, stop the iteration and output no solution;

步骤c:根据步骤b中求解得到的x和y,求解最大最小子问题,找到导致最大可能违反安全规定值的最坏场景下的风光出力大小和负荷值;Step c: According to the x and y obtained in step b, solve the maximum and minimum sub-problems, and find the wind power output and load value in the worst scenario that may cause the maximum possible violation of safety regulations;

步骤d:如果步骤c中求解出的最大可能违反安全规定值小于εRO,则x和y是最终优化方案并停止迭代;反之,令s=s+1,根据步骤c中求解出来的最坏场景下风电、光伏出力值和负荷值

Figure BDA0003843096530000133
向主问题中增加如下式所示的CCG约束,返回步骤b;Step d: If the maximum possible safety violation value obtained in step c is less than ε RO , then x and y are the final optimization scheme and the iteration is stopped; otherwise, let s=s+1, according to the worst value obtained in step c Wind power, photovoltaic output value and load value in the scenario
Figure BDA0003843096530000133
Add the CCG constraint shown in the following formula to the main problem, and return to step b;

fTvs≤εRO f T v s ≤ε RO

Figure BDA0003843096530000141
Figure BDA0003843096530000141

式中,vs、zs分别为失负荷量和系统连续变量的第s次迭代值。In the formula, v s and z s are respectively the loss of load and the sth iteration value of the continuous variable of the system.

更进一步的,步骤5所述园区综合能源系统数据还包括园区综合能源系统具体组成及电-气-热能量流动拓扑,所述园区综合能源系统设备参数包括风机、光伏电池、热电联产机组、燃气轮机、电锅炉、P2G、储气设备、储热设备、电动汽车、碳捕集设备和碳储存设备的数量、容量以及出力/充放电功率上下限,所述园区综合能源系统运行参数包括向上级电网购电价格、向上级气网购气价格、碳交易价格和上述设备的各种运行参数、价格型联合热电需求响应比例以及电热负荷预测数据。Furthermore, the park comprehensive energy system data described in step 5 also includes the specific composition of the park comprehensive energy system and the topology of electric-gas-thermal energy flow, and the park comprehensive energy system equipment parameters include fans, photovoltaic cells, cogeneration units, Gas turbines, electric boilers, P2G, gas storage equipment, heat storage equipment, electric vehicles, carbon capture equipment, and carbon storage equipment, the quantity, capacity, output/upper and lower limits of charge and discharge power, the operating parameters of the comprehensive energy system in the park include Grid electricity purchase price, gas purchase price from higher-level gas network, carbon transaction price and various operating parameters of the above-mentioned equipment, price-based combined heat and power demand response ratio, and electric heating load forecast data.

与现有技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:

1)在考虑V2G技术和价格型联合热电需求响应的情况下,建立了园区综合能源系统的两阶段鲁棒调度模型。通过自适应调整电动汽车的充电/放电,并通过价格型联合热电需求响应将高峰时段的电/热负荷转移到非高峰时段,提出的鲁棒模型可以在基本情况下提高系统运行效率,同时在存在不确定性的情况下确保系统安全。1) Considering V2G technology and price-based joint heat and power demand response, a two-stage robust dispatching model of the park's integrated energy system is established. By adaptively adjusting the charging/discharging of electric vehicles and shifting the electric/thermal loads from peak hours to off-peak hours through price-type joint heat and power demand response, the proposed robust model can improve the system operating efficiency in the base case, while at the same time Ensuring system security in the presence of uncertainty.

2)对园区综合能源系统的碳流进行了详细建模,其中考虑了碳排放、碳捕获、碳储存、碳交易和通过各种设备的碳消耗,形成了完整的碳利用循环。此外,考虑了超过碳排放配额可能会受到巨大处罚的碳交易机制,两阶段鲁棒调度模型还可以在风力和光伏发电量较低的情况下将园区的碳排放保持在可接受的范围内。2) The carbon flow of the integrated energy system of the park is modeled in detail, which considers carbon emission, carbon capture, carbon storage, carbon trading, and carbon consumption through various equipment, forming a complete carbon utilization cycle. In addition, considering the carbon trading mechanism where exceeding the carbon emission quota may be subject to huge penalties, the two-stage robust dispatch model can also keep the carbon emission of the park within an acceptable range when the wind and photovoltaic power generation is low.

3)V2G技术可以有效防止电动汽车在高峰时段充电,从而减小峰谷差,缓解系统运行压力,降低园区综合能源系统的运行成本;价格型联合热电需求响应可以增强系统灵活性,并显著降低购电成本,促进可再生能源的渗透率;碳排放权交易引导系统积极采用清洁生产方式,以维持负载平衡。通过对碳排放权交易的敏感性分析,证明合理的定价机制可以显著降低碳排放。3) V2G technology can effectively prevent electric vehicles from charging during peak hours, thereby reducing the peak-to-valley difference, alleviating system operating pressure, and reducing the operating cost of the park's comprehensive energy system; price-based combined heat and power demand response can enhance system flexibility and significantly reduce The cost of electricity purchase promotes the penetration rate of renewable energy; carbon emission trading guides the system to actively adopt clean production methods to maintain load balance. Through the sensitivity analysis of carbon emissions trading, it is proved that a reasonable pricing mechanism can significantly reduce carbon emissions.

附图说明Description of drawings

图1是本发明所述方法的步骤流程图。Fig. 1 is a flowchart of the steps of the method of the present invention.

图2为需求响应阶梯型价格曲线直观表示价格响应负荷相对于电价变化的变化图。Figure 2 is a diagram of the demand response ladder price curve visually showing the change of the price response load relative to the change of the electricity price.

图3为园区综合能源系统碳利用循环示意图。Figure 3 is a schematic diagram of the carbon utilization cycle of the park's comprehensive energy system.

图4是园区综合能源系统的具体组成图。Figure 4 is a specific composition diagram of the park's comprehensive energy system.

图5为不考虑碳交易机制的园区综合能源系统经济调度下的净电负荷图。Figure 5 is the net electricity load diagram under the economic dispatch of the integrated energy system of the park without considering the carbon trading mechanism.

图6为不考虑碳交易机制的园区综合能源系统经济调度下的热负荷图。Figure 6 is the heat load diagram under the economic dispatch of the integrated energy system of the park without considering the carbon trading mechanism.

图7为考虑不同的碳交易价格的园区综合能源系统低碳鲁棒经济调度下购电功率、热电联产机组出力、燃气轮机出力和售电功率的变化情况。Figure 7 shows the changes in purchased power, combined heat and power unit output, gas turbine output, and sold power under the low-carbon robust economic dispatch of the integrated energy system of the park considering different carbon transaction prices.

具体实施方式detailed description

为了详尽说明本发明所公开的技术方案,下面结合附图和具体实施例对本发明作进一步说明。In order to describe the technical solutions disclosed in the present invention in detail, the present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

本发明公开的是一种考虑价格型需求响应和V2G的园区综合能源系统低碳鲁棒经济调度运行方法。具体实施步骤流程如图1所示,本发明技术方案包括以下步骤:The invention discloses a low-carbon robust economic scheduling operation method for a park comprehensive energy system considering price-based demand response and V2G. As shown in Figure 1, the specific implementation steps process, the technical solution of the present invention comprises the following steps:

步骤1:分别对价格型联合热电需求响应、V2G和碳交易进行建模,计及园区能量平衡约束、运行约束、储热/储气约束和与主网功率交换约束,以最大化社会福利为目标构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型。Step 1: Model the price-based combined heat and power demand response, V2G and carbon trading respectively, taking into account the park energy balance constraints, operation constraints, heat storage/gas storage constraints and power exchange constraints with the main grid, in order to maximize social welfare as Objective To construct a deterministic model of low-carbon economic dispatch of park integrated energy system considering price-based combined heat and power demand response and V2G.

(1.1)目标函数:(1.1) Objective function:

Figure BDA00038430965300001623
Figure BDA00038430965300001623

Figure BDA0003843096530000161
Figure BDA0003843096530000161

Figure BDA0003843096530000162
Figure BDA0003843096530000162

Figure BDA0003843096530000163
Figure BDA0003843096530000163

Figure BDA0003843096530000164
Figure BDA0003843096530000164

Figure BDA0003843096530000165
Figure BDA0003843096530000165

式中:Cdr为价格型联合热电需求响应获得的收益;

Figure BDA0003843096530000166
为二氧化碳相关成本;Co为园区运行成本;Ccur为弃风/光惩罚成本;Closs为失负荷惩罚成本;t为调度时间;e表示电负荷;h表示热负荷;k为分段数;
Figure BDA0003843096530000167
Figure BDA0003843096530000168
分别表示第k段的需求响应电负荷e/热负荷h在t时刻的投标价格;Pekt和Hhkt分别表示第k段的需求响应电/热负荷在t时刻的电/热功率;Ctran为碳交易价格;Dt表示园区t时刻的碳排放配额;
Figure BDA0003843096530000169
表示园区t时刻的碳排放量;Cbuy表示向碳市场购碳的单位价格;Csell表示向碳市场售碳的单位价格;
Figure BDA00038430965300001610
表示t时刻购碳量;
Figure BDA00038430965300001611
表示t时刻售碳量;
Figure BDA00038430965300001612
Figure BDA00038430965300001613
分别表示园区向上级电网购电、售电价格;
Figure BDA00038430965300001614
Figure BDA00038430965300001615
分别表示园区向上级电网购电、售电功率;
Figure BDA00038430965300001616
为购气价;
Figure BDA00038430965300001617
为园区向上级气网购气、售气功率;r、w分别为风机和光伏的索引;
Figure BDA00038430965300001618
分别表示弃风和弃光惩罚单位价格;
Figure BDA00038430965300001619
Figure BDA00038430965300001620
分别表示园区t时刻的弃风功率和弃光功率;
Figure BDA00038430965300001621
Figure BDA00038430965300001622
分别表示失电/热负荷的惩罚价格;vet和vht分别表示失电负荷/热负荷变量。In the formula: C dr is the income obtained by the price type combined heat and power demand response;
Figure BDA0003843096530000166
C o is the operating cost of the park; C cur is the wind/light penalty cost; C loss is the load loss penalty cost; t is the scheduling time; e is the electric load; h is the heat load; k is the number of segments ;
Figure BDA0003843096530000167
and
Figure BDA0003843096530000168
Respectively represent the bidding price of demand response electric load e/thermal load h in segment k at time t; P ekt and H hkt respectively represent the electric/thermal power of demand response electric/thermal load in segment k at time t ; is the carbon trading price; D t represents the carbon emission quota of the park at time t;
Figure BDA0003843096530000169
Indicates the carbon emissions of the park at time t; C buy indicates the unit price of carbon purchased from the carbon market; C sell indicates the unit price of carbon sold to the carbon market;
Figure BDA00038430965300001610
Indicates the amount of carbon purchased at time t;
Figure BDA00038430965300001611
Indicates the amount of carbon sold at time t;
Figure BDA00038430965300001612
and
Figure BDA00038430965300001613
Respectively represent the price of electricity purchase and sale from the park to the upper grid;
Figure BDA00038430965300001614
and
Figure BDA00038430965300001615
Respectively represent the power purchased and sold by the park from the upper grid;
Figure BDA00038430965300001616
is the gas purchase price;
Figure BDA00038430965300001617
Purchase gas and sell gas power for the park to the upper gas network; r and w are the indexes of wind turbines and photovoltaics respectively;
Figure BDA00038430965300001618
Respectively represent the unit price of wind curtailment and solar curtailment penalty;
Figure BDA00038430965300001619
Figure BDA00038430965300001620
Respectively represent the curtailed wind power and curtailed optical power of the park at time t;
Figure BDA00038430965300001621
and
Figure BDA00038430965300001622
respectively represent the penalty price of electricity loss/heat load; v et and v ht represent the variables of electricity loss/heat load respectively.

(1.2)约束条件:(1.2) Constraints:

(1.2.1)价格型联合热电需求响应约束(1.2.1) Price-type combined heat and power demand response constraints

价格响应型负荷的能耗会随着电价的上涨而单调下降,可以用如图2所示需求响应阶梯型价格曲线直观表示价格响应负荷相对于电价变化的变化。根据能源市场价格的变化,价格型响应负荷可以被削减或者转移到其他的运行时间段,即当需求响应投标价格小于分时电价时,价格型可响应负荷参与园区运行调度.可响应负荷为正值时表示电负荷被削减或者转移到其他运行时刻,可响应负荷为负值时表示该时刻获得从其他时刻转移的负荷而增加。The energy consumption of price-responsive loads will decrease monotonically with the increase of electricity prices, and the demand-response ladder price curve shown in Figure 2 can be used to intuitively represent the changes of price-responsive loads relative to changes in electricity prices. According to changes in energy market prices, price-responsive loads can be cut or transferred to other operating time periods, that is, when demand response bidding prices are lower than time-of-use electricity prices, price-type responsive loads participate in park operation scheduling. Responsive loads are positive When the value is negative, it means that the electric load is reduced or transferred to other operating time, and when the responsive load is negative, it means that this time gets the load transferred from other time and increases.

Figure BDA0003843096530000171
Figure BDA0003843096530000171

Figure BDA0003843096530000172
Figure BDA0003843096530000172

Figure BDA0003843096530000173
Figure BDA0003843096530000173

Figure BDA0003843096530000174
Figure BDA0003843096530000174

Figure BDA0003843096530000175
Figure BDA0003843096530000175

Figure BDA0003843096530000176
Figure BDA0003843096530000176

Figure BDA0003843096530000177
Figure BDA0003843096530000177

Figure BDA0003843096530000178
Figure BDA0003843096530000178

Figure BDA0003843096530000179
Figure BDA0003843096530000179

Figure BDA00038430965300001710
Figure BDA00038430965300001710

Figure BDA00038430965300001711
Figure BDA00038430965300001711

Figure BDA00038430965300001712
Figure BDA00038430965300001712

Figure BDA00038430965300001713
Figure BDA00038430965300001713

Figure BDA00038430965300001714
Figure BDA00038430965300001714

Figure BDA00038430965300001715
Figure BDA00038430965300001715

Figure BDA00038430965300001716
Figure BDA00038430965300001716

式中:

Figure BDA00038430965300001717
Figure BDA00038430965300001718
分别表示电负荷转入/转出时间;
Figure BDA00038430965300001719
Figure BDA00038430965300001720
分别表示电负荷最小转入/转出时间;Yet表示电负荷转移状态的0-1变量,转出为1;Pet表示园区实际电负荷功率;αet表示可响应电负荷比例;
Figure BDA00038430965300001721
表示预测电负荷功率;Pekt表示电负荷在第k段t时刻的电功率;
Figure BDA00038430965300001722
表示可响应电负荷;
Figure BDA00038430965300001723
表示第k段最大电功率;M为足够大的正数;
Figure BDA00038430965300001724
表示t时刻最大电负荷功率;
Figure BDA00038430965300001725
表示电负荷整体消减量;
Figure BDA00038430965300001726
Figure BDA00038430965300001727
分别表示热负荷转入/转出时间;
Figure BDA00038430965300001728
Figure BDA00038430965300001729
分别表示热负荷最小转入/转出时间;Yht表示热负荷转移状态的0-1变量,转出为1;Hht表示园区实际热负荷功率;αht表示可响应热负荷比例;
Figure BDA0003843096530000181
表示预测热负荷功率;Hhkt表示热负荷在第k段t时刻的热功率;
Figure BDA0003843096530000182
表示可响应热负荷;
Figure BDA0003843096530000183
表示第k段最大热功率;
Figure BDA0003843096530000184
表示t时刻最大热负荷功率;
Figure BDA0003843096530000185
表示热负荷整体消减量。In the formula:
Figure BDA00038430965300001717
and
Figure BDA00038430965300001718
Respectively represent the transfer-in/transfer-out time of electric load;
Figure BDA00038430965300001719
and
Figure BDA00038430965300001720
Indicates the minimum transfer-in/out time of electric load respectively; Y et represents the 0-1 variable of electric load transfer state, and transfer-out is 1; P et represents the actual electric load power of the park; α et represents the proportion of electric load that can be responded;
Figure BDA00038430965300001721
Indicates the predicted electric load power; P ekt represents the electric power of the electric load at the kth segment t time;
Figure BDA00038430965300001722
Indicates that it can respond to electrical loads;
Figure BDA00038430965300001723
Indicates the maximum electric power of the kth section; M is a positive number that is large enough;
Figure BDA00038430965300001724
Indicates the maximum electric load power at time t;
Figure BDA00038430965300001725
Indicates the overall reduction of electric load;
Figure BDA00038430965300001726
and
Figure BDA00038430965300001727
Respectively represent the heat load transfer-in/transfer-out time;
Figure BDA00038430965300001728
and
Figure BDA00038430965300001729
Respectively represent the minimum heat load transfer-in/transfer-out time; Y ht represents the 0-1 variable of the heat load transfer state, and the transfer out is 1; H ht represents the actual heat load power of the park; α ht represents the proportion of the heat load that can be responded;
Figure BDA0003843096530000181
Indicates the predicted thermal load power; H hkt indicates the thermal power of the thermal load at the kth segment t time;
Figure BDA0003843096530000182
Indicates that it can respond to thermal load;
Figure BDA0003843096530000183
Indicates the maximum thermal power of the kth section;
Figure BDA0003843096530000184
Indicates the maximum thermal load power at time t;
Figure BDA0003843096530000185
Indicates the overall reduction of heat load.

(1.2.2)V2G约束(1.2.2) V2G constraints

Figure BDA0003843096530000186
Figure BDA0003843096530000186

Figure BDA0003843096530000187
Figure BDA0003843096530000187

Figure BDA0003843096530000188
Figure BDA0003843096530000188

Figure BDA0003843096530000189
Figure BDA0003843096530000189

Figure BDA00038430965300001810
Figure BDA00038430965300001810

Figure BDA00038430965300001811
Figure BDA00038430965300001811

Figure BDA00038430965300001812
Figure BDA00038430965300001812

Figure BDA00038430965300001813
Figure BDA00038430965300001813

式中:l为电动汽车的索引;

Figure BDA00038430965300001814
表示电动汽车接入时刻的0-1变量,接入时刻为1,其余时刻为0;
Figure BDA00038430965300001815
为接入时刻和充/放电时间之和;
Figure BDA00038430965300001816
分别表示电动汽车充、放电功率;
Figure BDA00038430965300001817
表示电动汽车充电状态,充电为1,否则为0;
Figure BDA00038430965300001818
表示电动汽车放电状态,放电为1,否则为0;
Figure BDA00038430965300001819
分别代表电动汽车额定充/放电功率;M表示足够大正数;
Figure BDA00038430965300001820
表示电动汽车电池荷电状态;
Figure BDA00038430965300001821
表示电动汽车初始荷电状态;
Figure BDA00038430965300001822
表示电动汽车t-1时刻的电池荷电状态;
Figure BDA00038430965300001823
Figure BDA00038430965300001824
分别表示电动汽车充/放电效率;
Figure BDA00038430965300001825
表示电动汽车电池容量;
Figure BDA00038430965300001826
表示电动汽车离开时刻,离开时刻为1,其余时刻为0;
Figure BDA00038430965300001827
表示电动汽车离开时刻电池荷电状态;
Figure BDA00038430965300001828
Figure BDA00038430965300001829
分别表示电池荷电状态的下限和上限。In the formula: l is the index of the electric vehicle;
Figure BDA00038430965300001814
The 0-1 variable representing the access time of the electric vehicle, the access time is 1, and the rest of the time is 0;
Figure BDA00038430965300001815
is the sum of access time and charging/discharging time;
Figure BDA00038430965300001816
Respectively represent the charging and discharging power of electric vehicles;
Figure BDA00038430965300001817
Indicates the charging state of the electric vehicle, 1 for charging, 0 otherwise;
Figure BDA00038430965300001818
Indicates the discharge state of the electric vehicle, discharge is 1, otherwise it is 0;
Figure BDA00038430965300001819
Respectively represent the rated charge/discharge power of electric vehicles; M represents a sufficiently large positive number;
Figure BDA00038430965300001820
Indicates the state of charge of the electric vehicle battery;
Figure BDA00038430965300001821
Indicates the initial state of charge of the electric vehicle;
Figure BDA00038430965300001822
Indicates the state of charge of the battery at time t-1 of the electric vehicle;
Figure BDA00038430965300001823
and
Figure BDA00038430965300001824
Respectively represent the charging/discharging efficiency of electric vehicles;
Figure BDA00038430965300001825
Indicates the battery capacity of electric vehicles;
Figure BDA00038430965300001826
Indicates the departure time of the electric vehicle, the departure time is 1, and the rest of the time is 0;
Figure BDA00038430965300001827
Indicates the state of charge of the battery when the electric vehicle leaves;
Figure BDA00038430965300001828
and
Figure BDA00038430965300001829
Represents the lower and upper limits of the battery state of charge, respectively.

(1.2.3)碳捕集和碳储存约束(1.2.3) Carbon capture and storage constraints

Figure BDA00038430965300001830
Figure BDA00038430965300001830

Figure BDA00038430965300001831
Figure BDA00038430965300001831

Figure BDA0003843096530000191
Figure BDA0003843096530000191

Figure BDA0003843096530000192
Figure BDA0003843096530000192

Figure BDA0003843096530000193
Figure BDA0003843096530000193

Figure BDA0003843096530000194
Figure BDA0003843096530000194

Figure BDA0003843096530000195
Figure BDA0003843096530000195

Figure BDA0003843096530000196
Figure BDA0003843096530000196

Figure BDA0003843096530000197
Figure BDA0003843096530000197

Figure BDA0003843096530000198
Figure BDA0003843096530000198

Figure BDA0003843096530000199
Figure BDA0003843096530000199

Figure BDA00038430965300001910
Figure BDA00038430965300001910

Figure BDA00038430965300001911
Figure BDA00038430965300001911

Figure BDA00038430965300001912
Figure BDA00038430965300001912

式中:p、q分别为CHP和燃气轮机的索引;

Figure BDA00038430965300001913
表示第p台CHP在t时刻的碳排放量;
Figure BDA00038430965300001914
表示第q台燃气轮机在t时刻的碳排放量;
Figure BDA00038430965300001915
表示从上级电网购电产生的碳排放量;i为碳捕集机组的索引;
Figure BDA00038430965300001916
表示第i台碳捕集机组捕集的二氧化碳量;
Figure BDA00038430965300001917
Figure BDA00038430965300001918
分别为储碳设备的碳存入/输出量;m为P2G的索引;
Figure BDA00038430965300001919
表示第m台P2G在t时刻的碳消耗量;
Figure BDA00038430965300001920
为碳捕集率;
Figure BDA00038430965300001921
和μupper分别表示CHP、燃气轮机和主网的碳排放强度;
Figure BDA00038430965300001922
分别表示CHP和燃气轮机在t时刻的出力;
Figure BDA00038430965300001923
表示生成单位功率天然气需要的二氧化碳量;
Figure BDA00038430965300001924
表示第m台P2G的电转气效率;
Figure BDA00038430965300001925
表示第m台P2G在t时刻的耗电功率;LHANG表示天然气低热值,取值9.7kW·h/m3
Figure BDA00038430965300001926
表示储碳设备储碳量;
Figure BDA00038430965300001927
表示储碳设备在t-1时刻的储碳量;ηs为储碳损耗系数;Cs,min和Cs,max分别表示储碳设备的最小/最大储碳量;Min,min和Min ,max表示储碳设备最小/最大碳存入量;Mout,min和Mout,max为储碳设备最小/最大碳输出量;Mb ,max表示园区外购碳量的最大值;Ms,max表示园区售碳量的最大值;
Figure BDA0003843096530000201
表示第i台碳捕集机组t时刻的耗电功率;θ为处理单位二氧化碳的能耗;
Figure BDA0003843096530000202
表示碳捕集设备启停状态,开机为1,关机为0;
Figure BDA0003843096530000203
表示碳捕集设备的固定能耗。In the formula: p and q are the indexes of CHP and gas turbine respectively;
Figure BDA00038430965300001913
Indicates the carbon emission of the pth CHP at time t;
Figure BDA00038430965300001914
Indicates the carbon emission of the qth gas turbine at time t;
Figure BDA00038430965300001915
Indicates the carbon emissions generated by purchasing electricity from the upper-level grid; i is the index of the carbon capture unit;
Figure BDA00038430965300001916
Indicates the amount of carbon dioxide captured by the i-th carbon capture unit;
Figure BDA00038430965300001917
and
Figure BDA00038430965300001918
are the carbon storage/output of carbon storage equipment; m is the index of P2G;
Figure BDA00038430965300001919
Indicates the carbon consumption of the mth P2G at time t;
Figure BDA00038430965300001920
is the carbon capture rate;
Figure BDA00038430965300001921
and μ upper represent the carbon emission intensity of CHP, gas turbine and main network respectively;
Figure BDA00038430965300001922
respectively represent the output of CHP and gas turbine at time t;
Figure BDA00038430965300001923
Indicates the amount of carbon dioxide required to generate unit power of natural gas;
Figure BDA00038430965300001924
Indicates the power-to-gas efficiency of the mth P2G;
Figure BDA00038430965300001925
Indicates the power consumption of the mth P2G at time t; L HANG indicates the low calorific value of natural gas, which is 9.7kW·h/m 3 ;
Figure BDA00038430965300001926
Indicates the carbon storage capacity of the carbon storage equipment;
Figure BDA00038430965300001927
Indicates the carbon storage capacity of the carbon storage equipment at time t-1; η s is the carbon storage loss coefficient; C s,min and C s,max respectively indicate the minimum/maximum carbon storage capacity of the carbon storage equipment; Min ,min and M in , max indicates the minimum/maximum carbon storage amount of carbon storage equipment; M out,min and M out,max are the minimum/maximum carbon output of carbon storage equipment; M b ,max indicates the maximum amount of purchased carbon in the park; M s,max represents the maximum value of carbon sales in the park;
Figure BDA0003843096530000201
Indicates the power consumption of the i-th carbon capture unit at time t; θ is the energy consumption per unit of carbon dioxide;
Figure BDA0003843096530000202
Indicates the start-stop status of the carbon capture equipment, 1 for power-on and 0 for power-off;
Figure BDA0003843096530000203
Indicates the fixed energy consumption of carbon capture equipment.

(1.2.4)能量平衡约束(1.2.4) Energy balance constraints

Figure BDA0003843096530000204
Figure BDA0003843096530000204

Figure BDA0003843096530000205
Figure BDA0003843096530000205

Figure BDA0003843096530000206
Figure BDA0003843096530000206

式中:

Figure BDA0003843096530000207
Figure BDA0003843096530000208
分别表示第r台风机和第w台光伏t时刻的出力;Pet为t时刻考虑需求响应后的实际电负荷量;n为电锅炉的索引;
Figure BDA0003843096530000209
表示第n台电锅炉在t时刻的耗电功率;
Figure BDA00038430965300002010
为第m台P2G在t时刻产生的气功率;
Figure BDA00038430965300002011
分别为储气设备t时刻储存和释放的气功率;
Figure BDA00038430965300002012
分别为CHP和燃气轮机消耗的气功率;ηheat为园区的热能利用率;
Figure BDA00038430965300002013
分别为CHP和电锅炉的产热功率;
Figure BDA00038430965300002014
Figure BDA00038430965300002015
分别为储热设备储存和释放的热功率。In the formula:
Figure BDA0003843096530000207
and
Figure BDA0003843096530000208
Respectively represent the output of the rth wind turbine and the wth photovoltaic unit at time t; P et is the actual electric load after considering demand response at time t; n is the index of the electric boiler;
Figure BDA0003843096530000209
Indicates the power consumption of the nth electric boiler at time t;
Figure BDA00038430965300002010
is the gas power generated by the m-th P2G at time t;
Figure BDA00038430965300002011
are the gas power stored and released by the gas storage equipment at time t, respectively;
Figure BDA00038430965300002012
are the gas power consumed by CHP and gas turbine respectively; η heat is the thermal energy utilization rate of the park;
Figure BDA00038430965300002013
are the heat production power of CHP and electric boiler, respectively;
Figure BDA00038430965300002014
and
Figure BDA00038430965300002015
are the thermal power stored and released by the heat storage device, respectively.

(1.2.5)与主网功率交换约束(1.2.5) Power exchange constraints with the main network

Figure BDA00038430965300002016
Figure BDA00038430965300002016

Figure BDA00038430965300002017
Figure BDA00038430965300002017

Figure BDA00038430965300002018
Figure BDA00038430965300002018

式中:Pin,min和Pin,max分别表示从主网购电的最小和最大电功率;Pout,min、Pout,max分别为向主网售电的最小和最大电功率;Gin,min、Gin,max分别为从主网购气的最小和最大气功率。In the formula: P in,min and P in,max respectively represent the minimum and maximum electric power purchased from the main network; P out,min and P out,max are the minimum and maximum electric power sold to the main network; G in,min , G in,max are the minimum and maximum gas power purchased from the main network, respectively.

(1.2.6)弃风光约束和失负荷约束(1.2.6) Constraints of wind and wind abandonment and load loss

Figure BDA00038430965300002019
Figure BDA00038430965300002019

Figure BDA00038430965300002020
Figure BDA00038430965300002020

Figure BDA00038430965300002021
Figure BDA00038430965300002021

Figure BDA00038430965300002022
Figure BDA00038430965300002022

式中:

Figure BDA00038430965300002023
Figure BDA00038430965300002024
分别为允许的弃风比例、弃光比例、失电负荷比例和失热负荷比例。In the formula:
Figure BDA00038430965300002023
and
Figure BDA00038430965300002024
Respectively, the allowable wind curtailment ratio, solar curtailment ratio, power loss load ratio and heat loss load ratio.

(1.2.7)运行约束(1.2.7) Operational constraints

(1.2.7.1)CHP运行约束(1.2.7.1) CHP operational constraints

Figure BDA0003843096530000211
Figure BDA0003843096530000211

Figure BDA0003843096530000212
Figure BDA0003843096530000212

Figure BDA0003843096530000213
Figure BDA0003843096530000213

Figure BDA0003843096530000214
Figure BDA0003843096530000214

Figure BDA0003843096530000215
Figure BDA0003843096530000215

Figure BDA0003843096530000216
Figure BDA0003843096530000216

Figure BDA0003843096530000217
Figure BDA0003843096530000217

Figure BDA0003843096530000218
Figure BDA0003843096530000218

Figure BDA0003843096530000219
Figure BDA0003843096530000219

式中:

Figure BDA00038430965300002110
Figure BDA00038430965300002111
分别为CHP内溴冷机的制热系数和烟气回收率;
Figure BDA00038430965300002112
为CHP内微燃机的发电效率;
Figure BDA00038430965300002113
为散热损失率;
Figure BDA00038430965300002114
分别为CHP的开机和关机成本;
Figure BDA00038430965300002115
分别为CHP单次开机和关机的成本;
Figure BDA00038430965300002116
分别为CHP在t时刻和t-1时刻的开关机状态,开机为1,关机为0;
Figure BDA00038430965300002117
分别为CHP出力的最小和最大电功率;
Figure BDA00038430965300002118
为CHP在t-1时刻的出力;
Figure BDA00038430965300002119
分别为CHP的上爬坡率和下爬坡率;
Figure BDA00038430965300002120
分别为CHP的连续开机和关机时间;
Figure BDA00038430965300002121
分别为CHP的最小开机时间和最小关机时间。In the formula:
Figure BDA00038430965300002110
and
Figure BDA00038430965300002111
Respectively, the heating coefficient and flue gas recovery rate of the CHP internal bromine refrigerator;
Figure BDA00038430965300002112
is the power generation efficiency of the CHP internal micro-combustion engine;
Figure BDA00038430965300002113
is the heat loss rate;
Figure BDA00038430965300002114
are the startup and shutdown costs of CHP, respectively;
Figure BDA00038430965300002115
Respectively, the cost of a single startup and shutdown of CHP;
Figure BDA00038430965300002116
Respectively, the switching status of CHP at time t and time t-1, 1 for power-on and 0 for power-off;
Figure BDA00038430965300002117
are the minimum and maximum electric power of CHP output respectively;
Figure BDA00038430965300002118
is the contribution of CHP at time t-1;
Figure BDA00038430965300002119
Respectively, the up-slope rate and the down-slope rate of CHP;
Figure BDA00038430965300002120
Respectively, the continuous power-on and power-off time of CHP;
Figure BDA00038430965300002121
are the minimum power-on time and minimum power-off time of the CHP, respectively.

(1.2.7.2)燃气轮机运行约束(1.2.7.2) Gas turbine operating constraints

Figure BDA00038430965300002122
Figure BDA00038430965300002122

Figure BDA00038430965300002123
Figure BDA00038430965300002123

式中:F(·)为燃气轮机的热耗率曲线;

Figure BDA0003843096530000221
分别为CHP的开机和关机成本;
Figure BDA0003843096530000222
为燃气轮机出力最小值;
Figure BDA0003843096530000223
为燃气轮机在t时刻的开关机状态,开机为1,关机为0;
Figure BDA0003843096530000224
为燃气轮机在第k段的耗气增量;
Figure BDA0003843096530000225
为燃气轮机在t时刻第k段的电功率。In the formula: F( ) is the heat rate curve of the gas turbine;
Figure BDA0003843096530000221
are the startup and shutdown costs of CHP, respectively;
Figure BDA0003843096530000222
It is the minimum output value of the gas turbine;
Figure BDA0003843096530000223
is the on/off state of the gas turbine at time t, 1 for power on and 0 for power off;
Figure BDA0003843096530000224
is the gas consumption increment of the gas turbine in the k-th section;
Figure BDA0003843096530000225
is the electric power of the gas turbine at the kth stage at time t.

(1.2.7.3)P2G运行约束(1.2.7.3) P2G operation constraints

Figure BDA0003843096530000226
Figure BDA0003843096530000226

Figure BDA0003843096530000227
Figure BDA0003843096530000227

式中:

Figure BDA0003843096530000228
为P2G的电转气效率;
Figure BDA0003843096530000229
分别为P2G的最小和最大制气功率。In the formula:
Figure BDA0003843096530000228
is the power-to-gas efficiency of P2G;
Figure BDA0003843096530000229
are the minimum and maximum gas production power of P2G, respectively.

(1.2.7.4)电锅炉运行约束(1.2.7.4) Electric boiler operating constraints

Figure BDA00038430965300002210
Figure BDA00038430965300002210

Figure BDA00038430965300002211
Figure BDA00038430965300002211

式中:

Figure BDA00038430965300002212
为电锅炉的电制热效率;
Figure BDA00038430965300002213
分别为电锅炉的最小和最大制热功率。In the formula:
Figure BDA00038430965300002212
is the electric heating efficiency of the electric boiler;
Figure BDA00038430965300002213
are the minimum and maximum heating power of the electric boiler, respectively.

(1.2.7.5)储气和储热设备运行约束(1.2.7.5) Operation constraints of gas storage and heat storage equipment

Figure BDA00038430965300002214
Figure BDA00038430965300002214

Figure BDA00038430965300002215
Figure BDA00038430965300002215

Figure BDA00038430965300002216
Figure BDA00038430965300002216

Figure BDA00038430965300002217
Figure BDA00038430965300002217

Figure BDA00038430965300002218
Figure BDA00038430965300002218

Figure BDA00038430965300002219
Figure BDA00038430965300002219

Figure BDA00038430965300002220
Figure BDA00038430965300002220

Figure BDA00038430965300002221
Figure BDA00038430965300002221

式中:

Figure BDA0003843096530000231
分别为储气设备的储/放气功率;GGS,in,max、GGS,out,max分别为储气设备的最大储/放气功率;
Figure BDA0003843096530000232
分别为储气设备在t时刻和t-1时刻的储气容量;ηCGS、ηGS,in和ηGS,out分别为储气设备自耗率、储气效率和放气效率;
Figure BDA0003843096530000233
Figure BDA0003843096530000234
分别为储热设备的储/放热功率;HHS,in,max、HHS,out,max分别为储热设备的最大储/放热功率;
Figure BDA0003843096530000235
分别为储热设备在t时刻和t-1时刻的储热容量;ηCHS、ηHS,in和ηHS,out分别为储热设备自耗率、储热效率和放热效率。In the formula:
Figure BDA0003843096530000231
are the storage/deflation power of the gas storage equipment; G GS,in,max and G GS,out,max are the maximum storage/deflation power of the gas storage equipment;
Figure BDA0003843096530000232
are the gas storage capacity of the gas storage equipment at time t and t-1 respectively; η CGS , η GS,in and η GS,out are the self-consumption rate, gas storage efficiency and gas release efficiency of the gas storage equipment, respectively;
Figure BDA0003843096530000233
Figure BDA0003843096530000234
are the heat storage/discharge power of the heat storage equipment; H HS,in,max and H HS,out,max are the maximum heat storage/discharge power of the heat storage equipment;
Figure BDA0003843096530000235
are the heat storage capacity of the heat storage equipment at time t and t-1, respectively; η CHS , η HS,in and η HS,out are the self-consumption rate, heat storage efficiency, and heat release efficiency of the heat storage equipment, respectively.

(1.2.8)一般向量形式(1.2.8) General vector form

为了便于讨论,将上述确定性优化调度模型写为一般向量形式。For the convenience of discussion, the above deterministic optimal scheduling model is written in general vector form.

Figure BDA0003843096530000236
Figure BDA0003843096530000236

s.t.Ax+By+Cv≤b,x∈{0,1}s.t.Ax+By+Cv≤b,x∈{0,1}

式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;

Figure BDA0003843096530000237
Figure BDA0003843096530000238
是目标函数的常系数向量;A、B、C和b分别为约束常系数矩阵和向量。In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure BDA0003843096530000237
and
Figure BDA0003843096530000238
is the constant coefficient vector of the objective function; A, B, C and b are constrained constant coefficient matrix and vector, respectively.

步骤2:通过热电联产机组、燃气轮机、碳捕集设备、碳储存设备和电转气设备等形成一个考虑碳排放、碳捕集、碳储存、碳交易和碳消耗的完整园区综合能源系统碳利用循环,并对碳流进行建模。Step 2: Through cogeneration units, gas turbines, carbon capture equipment, carbon storage equipment, and power-to-gas equipment, etc., form a complete park comprehensive energy system that considers carbon emissions, carbon capture, carbon storage, carbon trading, and carbon consumption. Carbon utilization cycle, and model carbon flows.

园区综合能源系统碳利用循环如图3所示。碳捕集设备捕集热电联产机组和燃气轮机运行过程中产生的二氧化碳,并将捕集到的二氧化碳直接供给电转气设备产生天然气,富余的二氧化碳存入储碳设备或直接与外界碳市场进行交易或直接排放。The carbon utilization cycle of the park's comprehensive energy system is shown in Figure 3. Carbon capture equipment captures carbon dioxide produced during the operation of cogeneration units and gas turbines, and supplies the captured carbon dioxide directly to power-to-gas equipment to generate natural gas. The excess carbon dioxide is stored in carbon storage equipment or directly traded with external carbon markets or direct discharge.

步骤3:在考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型基础上,引入两阶段鲁棒优化处理园区风光出力和电/热负荷不确定性问题,构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型。Step 3: Based on the deterministic model of low-carbon economic dispatch of park integrated energy system considering the price-based combined heat and power demand response and V2G, introduce two-stage robust optimization to deal with the park's wind power output and electricity/heat load uncertainty, and construct a consideration A low-carbon robust economic dispatch model for park integrated energy systems based on price-based combined heat and power demand response and V2G.

在考虑价格型需求响应和V2G的园区综合能源系统低碳经济调度确定性模型的基础上,考虑风光出力和负荷预测的不确定性的两阶段鲁棒调度模型如下式所示。该模型的第一阶段为基础场景下园区综合能源系统优化调度、电动汽车充放电状态和价格型需求响应转移状态等决策状态的最优调度方案,第二阶段是在第一阶段的调度方案基础上,根据风光出力波动和负荷实时值调整园区机组出力、V2G和需求响应负荷等以保证系统的安全运行。其中,最大最小子问题是用来辨识不确定条件下可能导致园区最大安全越限的最坏场景。Based on the deterministic model of low-carbon economic scheduling of park integrated energy system considering price-based demand response and V2G, the two-stage robust scheduling model considering the uncertainty of wind power output and load forecasting is shown in the following formula. The first stage of the model is the optimal dispatching plan for decision-making states such as the optimal dispatching of the park’s comprehensive energy system, the charging and discharging state of electric vehicles, and the transition state of price-based demand response under the basic scenario. The second stage is the dispatching plan based on the first stage On the basis of wind and solar output fluctuations and real-time load values, the output of park units, V2G and demand response loads are adjusted to ensure the safe operation of the system. Among them, the max-min sub-problem is used to identify the worst scenario that may lead to the park's maximum safety violation under uncertain conditions.

Figure BDA0003843096530000241
Figure BDA0003843096530000241

s.t.Ax+By≤b,x∈{0,1}s.t.Ax+By≤b,x∈{0,1}

Figure BDA0003843096530000242
Figure BDA0003843096530000242

式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;

Figure BDA0003843096530000243
是目标函数的常系数向量;u为与风电、光伏出力不确定性和负荷值相关的不确定变量;εRO表示允许的安全阈值;A、B、C、D、E、F、G、f、b和g分别为约束常系数矩阵和向量。In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure BDA0003843096530000243
is the constant coefficient vector of the objective function; u is the uncertain variable related to wind power, photovoltaic output uncertainty and load value; ε RO represents the allowable safety threshold; A, B, C, D, E, F, G, f , b and g are constrained constant coefficient matrix and vector respectively.

步骤4:利用对偶理论方法将所提的考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的双层最大最小子问题转换为单层极大问题,并用极值点法求解单层极大问题内的双线性优化问题,最后用column and constraint generation(CCG)方法对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解。Step 4: Using the dual theory method, the proposed double-level maximum-minimum sub-problem of the low-carbon robust economic dispatch model of the park integrated energy system considering the price-type joint heat and power demand response and V2G is transformed into a single-level maximal problem, and the extreme value The point method is used to solve the bilinear optimization problem in the single-layer maximal problem, and finally the column and constraint generation (CCG) method is used to solve the low-carbon robust economic dispatch model of the integrated energy system of the park considering the price type combined heat and power demand response and V2G .

(4.1)园区综合能源系统鲁棒调度主问题:(4.1) The main problem of robust scheduling of the integrated energy system in the park:

鲁棒调度的主问题目标函数为最大化园区社会福利,约束条件包括基础场景约束以及最坏场景约束。最坏场景所对应的风电出力、光伏出力和负荷实际值

Figure BDA0003843096530000251
由第s次迭代中的子问题中求解得到,S为迭代的总次数。The objective function of the main problem of robust scheduling is to maximize the social welfare of the park, and the constraints include basic scenario constraints and worst scenario constraints. The actual value of wind power output, photovoltaic output and load corresponding to the worst scenario
Figure BDA0003843096530000251
It is obtained by solving the subproblems in the sth iteration, and S is the total number of iterations.

Figure BDA0003843096530000252
Figure BDA0003843096530000252

Ax+By≤b,x∈{0,1}Ax+By≤b,x∈{0,1}

Figure BDA0003843096530000253
Figure BDA0003843096530000253

Figure BDA0003843096530000254
Figure BDA0003843096530000254

(4.2)园区综合能源系统最坏场景识别子问题:(4.2) The worst-case scenario identification sub-problem of the integrated energy system of the park:

双层最大最小子问题是识别最坏场景的问题,寻找到造成系统最大违反安全规定值的场景,即确定最坏场景中不确定量的具体取值。其中,x*和y*由主问题得到,λ是线性不等式约束的对偶变量。The double-layer maximum-minimum subproblem is the problem of identifying the worst scenario, finding the scenario that causes the maximum violation of the safety regulations of the system, that is, determining the specific value of the uncertainty in the worst scenario. where x * and y * are obtained from the master problem, and λ is the dual variable constrained by the linear inequality.

Figure BDA0003843096530000255
Figure BDA0003843096530000255

Ez+Fv+Gu≤g-Cx*-Dy*:(λ)Ez+Fv+Gu≤g-Cx * -Dy * :(λ)

(4.3)将双层最大最小子问题利用对偶变换转换为单层最大化问题:(4.3) Transform the double-layer maximum-minimum subproblem into a single-layer maximization problem using dual transformation:

Figure BDA0003843096530000256
Figure BDA0003843096530000256

s.t.λTE≤fstλ T E ≤ f

λTF≤0λ T F ≤ 0

λ≤0λ≤0

(4.4)利用极值点法求解单层最大化问题内的双线性变量乘积λu问题:(4.4) Use the extreme point method to solve the bilinear variable product λu problem in the single-layer maximization problem:

λu=λ0ub+u+-u- λu=λ 0 u b+ u +- u -

λ=λ0+- λ=λ 0+-

β0+-=1β 0+- =1

0M≤λ0≤β0M0 M≤λ 0 ≤β 0 M

+M≤λ+≤β+M+ M≤λ + ≤β + M

-M≤λ-≤β-M- M≤λ - ≤β - M

式中:λ0,λ+和λ-为辅助连续变量,β0,β+和β-为辅助0-1变量,对应u取其不确定合集上限u+、均值ub、下限u-的情况;M为一个极大的数。In the formula: λ 0 , λ + and λ - are auxiliary continuous variables, β 0 , β + and β - are auxiliary 0-1 variables, corresponding to u take the upper limit u + , mean u b , and lower limit u - of the uncertain set Situation; M is a very large number.

(4.5)CCG法求解提出的考虑价格型需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的具体流程:(4.5) The specific process of CCG method to solve the proposed low-carbon robust economic dispatch model of park integrated energy system considering price-based demand response and V2G:

步骤a:令迭代计数器s=0,设置系统允许的违反安全规定最大值εROStep a: Let the iteration counter s=0, and set the maximum value ε RO that the system allows to violate safety regulations;

步骤b:求解主问题,若有解,得到系统机组启停状态等决策状态x和机组出力安排y,进行步骤c;反之,停止迭代并输出无解;Step b: Solve the main problem. If there is a solution, obtain the decision state x such as the start-stop state of the system unit and the unit output arrangement y, and proceed to step c; otherwise, stop the iteration and output no solution;

步骤c:根据步骤b中求解得到的x和y,求解最大最小子问题,找到导致最大可能违反安全规定值的最坏场景下的风光出力大小和负荷值;Step c: According to the x and y obtained in step b, solve the maximum and minimum sub-problems, and find the wind power output and load value in the worst scenario that may cause the maximum possible violation of safety regulations;

步骤d:如果步骤c中求解出的最大可能违反安全规定值小于εRO,则x和y是最终优化方案并停止迭代;反之,令s=s+1,根据步骤c中求解出来的最坏场景下风电、光伏出力值和负荷值

Figure BDA0003843096530000261
向主问题中增加如下式所示的CCG约束,返回步骤b。Step d: If the maximum possible safety violation value obtained in step c is less than ε RO , then x and y are the final optimization scheme and the iteration is stopped; otherwise, let s=s+1, according to the worst value obtained in step c Wind power, photovoltaic output value and load value in the scenario
Figure BDA0003843096530000261
Add the CCG constraint shown in the following formula to the main problem, and return to step b.

fTvs≤εRO f T v s ≤ε RO

Figure BDA0003843096530000262
Figure BDA0003843096530000262

步骤5:输入园区综合能源系统数据、设备参数、运行参数等,采用商业求解器GUROBI对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解,得到园区综合能源系统低碳经济鲁棒调度优化结果。Step 5: Input park comprehensive energy system data, equipment parameters, operating parameters, etc., and use the commercial solver GUROBI to solve the park comprehensive energy system low-carbon robust economic dispatch model considering price-based combined heat and power demand response and V2G, and obtain the park comprehensive Low-carbon economy robust dispatch optimization results for energy systems.

所述园区综合能源系统数据还包括园区综合能源系统具体组成及电-气-热能量流动拓扑,所述园区综合能源系统设备参数包括风机、光伏电池、热电联产机组、燃气轮机、电锅炉、P2G、储气设备、储热设备、电动汽车、碳捕集设备和碳储存设备的数量、容量以及出力/充放电功率上下限,所述园区综合能源系统运行参数包括向上级电网购电价格、向上级气网购气价格、碳交易价格和上述设备的各种运行参数、价格型联合热电需求响应比例以及电热负荷预测数据。The park comprehensive energy system data also includes the specific composition of the park comprehensive energy system and the electricity-gas-heat energy flow topology, and the park comprehensive energy system equipment parameters include fans, photovoltaic cells, combined heat and power units, gas turbines, electric boilers, P2G , gas storage equipment, heat storage equipment, electric vehicles, carbon capture equipment, and carbon storage equipment, the quantity, capacity, and output/charging and discharging power upper and lower limits. The gas purchase price of the upper-level gas network, the carbon transaction price, various operating parameters of the above-mentioned equipment, the price-based combined heat and power demand response ratio, and electric heating load forecast data.

下面通过具体实施例详细说明本发明效果。The effects of the present invention will be described in detail below through specific examples.

(1)算例介绍(1) Calculation example introduction

对如图4所示的园区综合能源系统组成进行园区综合能源系统低碳鲁棒经济调度算例分析。该园区包含风机、光伏电池、热电联产机组、电转气设备、电锅炉、储气设备、和储热设备各一个,燃气轮机两台,电动汽车30辆。测试工具采用Matlab2020b编程软件和GUROBI9.1商用求解器。An example analysis of the low-carbon robust economic scheduling of the park's comprehensive energy system is carried out for the composition of the park's comprehensive energy system as shown in Figure 4. The park includes fans, photovoltaic cells, cogeneration units, power-to-gas equipment, electric boilers, one gas storage equipment, one heat storage equipment, two gas turbines, and 30 electric vehicles. The test tool uses Matlab2020b programming software and GUROBI9.1 commercial solver.

(2)实施例场景描述(2) Example scenario description

为验证考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的有效性,设置以下算例1-9;为验证碳排放权交易价格对园区碳排放的影响,设置算例10-12。In order to verify the effectiveness of the low-carbon robust economic dispatch model of the park integrated energy system considering the price-based combined heat and power demand response and V2G, the following calculation examples 1-9 are set; Calculations 10-12.

算例1:不考虑V2G和需求响应的确定性调度;Calculation example 1: Deterministic scheduling without considering V2G and demand response;

算例2:考虑V2G的确定性调度;Calculation example 2: Consider the deterministic scheduling of V2G;

算例3:考虑V2G和联合热电需求响应的确定性调度;Calculation example 3: Considering the deterministic dispatch of V2G and combined heat and power demand response;

算例4:在算例1的基础上考虑碳交易机制;Calculation example 4: Consider the carbon trading mechanism on the basis of calculation example 1;

算例5:在算例2的基础上考虑碳交易机制;Calculation example 5: Consider the carbon trading mechanism on the basis of calculation example 2;

算例6:在算例3的基础上考虑碳交易机制;Calculation example 6: Consider the carbon trading mechanism on the basis of calculation example 3;

算例7:在算例4的基础上进行鲁棒调度;Calculation Example 7: Robust scheduling based on Calculation Example 4;

算例8:在算例5的基础上进行鲁棒调度;Calculation example 8: Robust scheduling based on calculation example 5;

算例9:在算例6的基础上进行鲁棒调度;Calculation example 9: Robust scheduling based on calculation example 6;

算例10:在算例9的基础上改变碳排放权价格为1.2$/kg;Calculation example 10: On the basis of calculation example 9, change the price of carbon emission rights to 1.2$/kg;

算例11:在算例9的基础上改变碳排放权价格为12$/kg;Calculation example 11: On the basis of calculation example 9, change the price of carbon emission rights to 12$/kg;

算例12:在算例9的基础上改变碳排放权价格为120$/kg。Calculation Example 12: Based on Calculation Example 9, change the price of carbon emission rights to 120$/kg.

(3)实施例结果分析(3) embodiment result analysis

表1给出了园区综合能源系统低碳经济确定性调度算例1-6的成本/收益对比,其中成本为正值,收益为负值。从中可以得到:考虑V2G和联合热电需求响应能明显降低园区运行的总成本,有利于系统的经济运行。引入碳交易机制后,虽然碳排放权交易成本增加,但系统减少了从碳排放强度高的主网购电。V2G、联合热电需求响应和碳交易机制的共同作用促进了园区综合能源系统的低碳经济运行。Table 1 shows the cost/benefit comparison of low-carbon economy deterministic dispatching examples 1-6 of the integrated energy system in the park, where the cost is a positive value and the benefit is a negative value. It can be concluded that considering V2G and combined heat and power demand response can significantly reduce the total cost of park operation, which is conducive to the economic operation of the system. After the introduction of the carbon trading mechanism, although the transaction cost of carbon emission rights increases, the system reduces the purchase of electricity from the main network with high carbon emission intensity. The joint effect of V2G, joint heat and power demand response and carbon trading mechanism promotes the low-carbon economic operation of the park's comprehensive energy system.

表1 算例1-6的成本/收益($)Table 1 Cost/benefit ($) of calculation examples 1-6

Figure BDA0003843096530000281
Figure BDA0003843096530000281

图5和图6分别为不考虑碳交易机制的园区综合能源系统确定性调度算例1-3的净电负荷和热负荷图。从中可以看出,V2G可以增强电动汽车的可控性,有效避免电动汽车在高峰时段充电,提高系统安全性。价格型联合热电需求响应可以显著提高系统运行的灵活性,实现园区净负荷的“调峰填谷”。Figure 5 and Figure 6 are the net electricity load and heat load diagrams of the deterministic dispatching examples 1-3 of the park integrated energy system without considering the carbon trading mechanism, respectively. It can be seen that V2G can enhance the controllability of electric vehicles, effectively avoid charging electric vehicles during peak hours, and improve system security. The price-based combined heat and power demand response can significantly improve the flexibility of system operation and realize the "peak-shaving and valley-filling" of the park's net load.

表2给出了算例1-6的碳捕集和碳排放情况,容易得到:在考虑碳交易机制时,如果总碳排放量低于排放配额,剩余配额可以出售。反之,当排放量大于排放配额时,必须向其他单位购买排放配额,否则将不允许排放。换言之,碳捕获设备及碳交易机制的引入可以大大减少园区综合能源系统的碳排放。Table 2 shows the carbon capture and carbon emission of calculation examples 1-6, which is easy to get: when considering the carbon trading mechanism, if the total carbon emission is lower than the emission quota, the remaining quota can be sold. Conversely, when the emission is greater than the emission quota, the emission quota must be purchased from other units, otherwise the emission will not be allowed. In other words, the introduction of carbon capture equipment and carbon trading mechanism can greatly reduce the carbon emissions of the park's comprehensive energy system.

表2 算例1-6的碳捕集和碳排放量(kg)Table 2 Carbon capture and carbon emissions of calculation examples 1-6 (kg)

Figure BDA0003843096530000291
Figure BDA0003843096530000291

表3为算例4-9的总成本和碳排放对比情况,可以看到:鲁棒调度在一定程度上牺牲了经济性和低碳性,以应对不确定性,确保系统的安全运行。而且,鲁棒调度最坏场景的碳排放量与基础场景的碳排放量相等,均在可接受的范围内。Table 3 shows the comparison of the total cost and carbon emissions of calculation examples 4-9. It can be seen that the robust scheduling sacrifices economy and low carbon to a certain extent to deal with uncertainty and ensure the safe operation of the system. Moreover, the carbon emission of the worst scenario of robust scheduling is equal to that of the basic scenario, both of which are within an acceptable range.

表3 算例4-9的总成本和碳排放对比情况Table 3 Comparison of total cost and carbon emissions of calculation examples 4-9

Figure BDA0003843096530000292
Figure BDA0003843096530000292

图7为考虑不同的碳交易价格的园区综合能源系统低碳鲁棒经济调度下购电功率、热电联产机组出力、燃气轮机出力和售电功率的变化情况。从图7可知,随着碳排放权交易价格的上涨,园区综合能源系统逐渐从经济运行转向最小碳排放优化。证明合理的定价机制可以显著降低碳排放。Figure 7 shows the changes in purchased power, combined heat and power unit output, gas turbine output, and sold power under the low-carbon robust economic dispatch of the integrated energy system of the park considering different carbon transaction prices. It can be seen from Figure 7 that with the increase in the trading price of carbon emission rights, the comprehensive energy system of the park gradually shifts from economic operation to optimization of minimum carbon emission. Prove that a reasonable pricing mechanism can significantly reduce carbon emissions.

以上所述,仅为本发明的具体实施例,但并不因此限制本发明的专利保护范围,凡是利用本发明说明书以及附图内容进行等效变化或替换,直接或间接运用到其他相关技术领域,都应包括在本发明的保护范围之内。The above is only a specific embodiment of the present invention, but it does not limit the scope of patent protection of the present invention. Anyone who uses the description of the present invention and the content of the accompanying drawings to perform equivalent changes or replacements is directly or indirectly applied to other related technical fields. , should be included within the protection scope of the present invention.

Claims (6)

1.一种考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,包括以下步骤:1. A park integrated energy system scheduling method considering price-based demand response and V2G, characterized in that it comprises the following steps: 步骤1:分别对价格型联合热电需求响应、V2G和碳交易进行建模,计及园区能量平衡约束、运行约束、储热/储气约束和与主网功率交换约束,以最大化社会福利为目标构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型;Step 1: Model the price-based combined heat and power demand response, V2G and carbon trading respectively, taking into account the park energy balance constraints, operation constraints, heat storage/gas storage constraints and power exchange constraints with the main grid, in order to maximize social welfare as The goal is to build a deterministic model of low-carbon economic scheduling of the park's comprehensive energy system considering price-based combined heat and power demand response and V2G; 步骤2:通过热电联产机组、燃气轮机、碳捕集设备、碳储存设备和电转气设备形成一个考虑碳排放、碳捕集、碳储存、碳交易和碳消耗的完整园区综合能源系统碳利用循环,并对碳流进行建模;Step 2: Through cogeneration units, gas turbines, carbon capture equipment, carbon storage equipment, and power-to-gas equipment, a complete park comprehensive energy system carbon utilization cycle that considers carbon emissions, carbon capture, carbon storage, carbon trading, and carbon consumption is formed. , and model the carbon flow; 步骤3:在考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型基础上,引入两阶段鲁棒优化处理园区风光出力和电/热负荷不确定性问题,构建考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型;Step 3: Based on the deterministic model of low-carbon economic dispatch of park integrated energy system considering the price-based combined heat and power demand response and V2G, introduce two-stage robust optimization to deal with the park's wind power output and electricity/heat load uncertainty, and construct a consideration A low-carbon robust economic dispatch model for the integrated energy system of parks based on price-based combined heat and power demand response and V2G; 步骤4:将所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的双层最大最小子问题转换为单层极大问题,并用极值点法求解单层极大问题内的双线性优化问题,最后用列和约束生成法对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解;Step 4: Transform the double-layer maximum-minimum sub-problem of the low-carbon robust economic dispatch model of the park integrated energy system considering price-type combined heat and power demand response and V2G into a single-layer maximal problem, and use the extreme point method to solve the single-layer problem The bilinear optimization problem within the extremely large problem, and finally use the column sum constraint generation method to solve the low-carbon robust economic dispatch model of the park integrated energy system considering the price-type joint heat and power demand response and V2G; 步骤5:输入园区综合能源系统数据、设备参数、运行参数,采用商业求解器GUROBI对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型进行求解,得到园区综合能源系统低碳经济鲁棒调度优化结果。Step 5: Input the park comprehensive energy system data, equipment parameters, and operating parameters, and use the commercial solver GUROBI to solve the low-carbon robust economic dispatch model of the park comprehensive energy system considering price-type joint heat and power demand response and V2G, and obtain the park comprehensive energy System low-carbon economy robust scheduling optimization results. 2.根据权利要求1所述的考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,步骤1所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳经济调度确定性模型具体如下:2. The dispatching method of park integrated energy system considering price-based demand response and V2G according to claim 1, characterized in that the low-carbon economic scheduling of park integrated energy system considering price-based combined heat and power demand response and V2G in step 1 The deterministic model is as follows: (1)目标函数:(1) Objective function:
Figure FDA0003843096520000021
Figure FDA0003843096520000021
Figure FDA0003843096520000022
Figure FDA0003843096520000022
Figure FDA0003843096520000023
Figure FDA0003843096520000023
Figure FDA0003843096520000024
Figure FDA0003843096520000024
Figure FDA0003843096520000025
Figure FDA0003843096520000025
Figure FDA0003843096520000026
Figure FDA0003843096520000026
式中:Cdr为价格型联合热电需求响应获得的收益;
Figure FDA0003843096520000027
为二氧化碳相关成本;Co为园区运行成本;Ccur为弃风/光惩罚成本;Closs为失负荷惩罚成本;t为调度时间;e表示电负荷;h表示热负荷;k为分段数;
Figure FDA0003843096520000028
Figure FDA0003843096520000029
分别表示第k段的需求响应电负荷e和热负荷h在t时刻的投标价格;Pekt表示第k段的需求响应电负荷e在t时刻的电功率,Hhkt表示第k段的需求响应热负荷h在t时刻的热功率;Ctran为碳交易价格;Dt表示园区t时刻的碳排放配额;
Figure FDA00038430965200000210
表示园区t时刻的碳排放量;Cbuy表示向碳市场购碳的单位价格;Csell表示向碳市场售碳的单位价格;
Figure FDA00038430965200000211
表示t时刻购碳量;
Figure FDA00038430965200000212
表示t时刻售碳量;
Figure FDA00038430965200000213
Figure FDA00038430965200000214
分别表示园区向上级电网购电价格和售电价格;Pt in和Pt out分别表示园区向上级电网购电率和售电功率;
Figure FDA00038430965200000215
为购气价;
Figure FDA00038430965200000216
为园区向上级气网购气功率;r和w分别为风机和光伏的索引;
Figure FDA00038430965200000217
Figure FDA00038430965200000218
分别表示弃风和弃光惩罚单位价格;
Figure FDA00038430965200000219
Figure FDA00038430965200000220
分别表示园区t时刻的弃风功率和弃光功率;
Figure FDA00038430965200000221
Figure FDA00038430965200000222
分别表示失电负荷的惩罚价格和失热负荷的惩罚价格;vet和vht分别表示失电负荷变量和失热负荷变量;
In the formula: C dr is the income obtained by the price type combined heat and power demand response;
Figure FDA0003843096520000027
C o is the operating cost of the park; C cur is the wind/light penalty cost; C loss is the load loss penalty cost; t is the scheduling time; e is the electric load; h is the heat load; k is the number of segments ;
Figure FDA0003843096520000028
and
Figure FDA0003843096520000029
Respectively represent the bidding price of demand response electric load e and heat load h of segment k at time t; P ekt represents the electric power of demand response electric load e of segment k at time t, H hkt represents the demand response heat of segment k The thermal power of load h at time t; C tran is the carbon trading price; D t is the carbon emission quota of the park at time t;
Figure FDA00038430965200000210
Indicates the carbon emissions of the park at time t; C buy indicates the unit price of carbon purchased from the carbon market; C sell indicates the unit price of carbon sold to the carbon market;
Figure FDA00038430965200000211
Indicates the amount of carbon purchased at time t;
Figure FDA00038430965200000212
Indicates the amount of carbon sold at time t;
Figure FDA00038430965200000213
and
Figure FDA00038430965200000214
respectively represent the purchase price and sale price of electricity from the industrial park to the upper grid;
Figure FDA00038430965200000215
is the gas purchase price;
Figure FDA00038430965200000216
Purchase gas power from the superior gas network for the park; r and w are the indexes of wind turbine and photovoltaic respectively;
Figure FDA00038430965200000217
and
Figure FDA00038430965200000218
Respectively represent the unit price of wind curtailment and solar curtailment penalty;
Figure FDA00038430965200000219
and
Figure FDA00038430965200000220
Respectively represent the curtailed wind power and curtailed optical power of the park at time t;
Figure FDA00038430965200000221
and
Figure FDA00038430965200000222
Respectively represent the penalty price of power loss load and the penalty price of heat loss load; v et and v ht represent the variables of power loss load and heat loss load respectively;
(2)约束条件:(2) Constraints: (2.1)价格型联合热电需求响应约束(2.1) Price-type combined heat and power demand response constraints 当需求响应投标价格小于分时电价时,价格型可响应负荷参与园区运行调度;可响应负荷为正值时表示电负荷被削减或者转移到其他运行时刻,可响应负荷为负值时表示该时刻获得从其他时刻转移的负荷而增加:When the bidding price of demand response is less than the time-of-use electricity price, the price-type responsive load participates in the operation scheduling of the park; when the responsive load is positive, it means that the electric load is cut or transferred to other operating time, and when the responsive load is negative, it means this time Get the load shifted from other moments while increasing:
Figure FDA0003843096520000031
Figure FDA0003843096520000031
Figure FDA0003843096520000032
Figure FDA0003843096520000032
Figure FDA0003843096520000033
Figure FDA0003843096520000033
Figure FDA0003843096520000034
Figure FDA0003843096520000034
Figure FDA0003843096520000035
Figure FDA0003843096520000035
Figure FDA0003843096520000036
Figure FDA0003843096520000036
Figure FDA0003843096520000037
Figure FDA0003843096520000037
Figure FDA0003843096520000038
Figure FDA0003843096520000038
Figure FDA0003843096520000039
Figure FDA0003843096520000039
Figure FDA00038430965200000310
Figure FDA00038430965200000310
Figure FDA00038430965200000311
Figure FDA00038430965200000311
Figure FDA00038430965200000312
Figure FDA00038430965200000312
Figure FDA00038430965200000313
Figure FDA00038430965200000313
Figure FDA00038430965200000314
Figure FDA00038430965200000314
Figure FDA00038430965200000315
Figure FDA00038430965200000315
Figure FDA00038430965200000316
Figure FDA00038430965200000316
式中:
Figure FDA00038430965200000317
Figure FDA00038430965200000318
分别表示电负荷转入时间和转出时间;Te on和Te off分别表示电负荷最小转入时间和转出时间;Yet和Ye,t-1分别表示t时刻和t-1时刻电负荷转移状态的0-1变量,转出为1,转入为0;Pet表示园区实际电负荷功率;
Figure FDA00038430965200000319
表示预测电负荷功率;Pekt表示电负荷在第k段t时刻的电功率;
Figure FDA00038430965200000320
表示可响应电负荷;
Figure FDA00038430965200000321
表示第k段最大电功率;M为足够大的正数;αet表示可响应电负荷比例;
Figure FDA00038430965200000322
表示t时刻最大电负荷功率;
Figure FDA00038430965200000323
表示电负荷整体消减量;
Figure FDA00038430965200000324
Figure FDA00038430965200000325
分别表示热负荷转入时间和转出时间;
Figure FDA00038430965200000326
Figure FDA00038430965200000327
分别表示热负荷最小转入时间和转出时间;Yht和Yh,t-1分别表示t时刻和t-1时刻热负荷转移状态的0-1变量,转出为1,转入为0;Hht表示园区实际热负荷功率;
Figure FDA00038430965200000328
表示预测热负荷功率;Hhkt表示热负荷在第k段t时刻的热功率;
Figure FDA0003843096520000041
表示可响应热负荷;
Figure FDA0003843096520000042
表示第k段最大热功率;αht表示可响应热负荷比例;
Figure FDA0003843096520000043
表示t时刻最大热负荷功率;
Figure FDA0003843096520000044
表示热负荷整体消减量;
In the formula:
Figure FDA00038430965200000317
and
Figure FDA00038430965200000318
Indicates the transfer-in time and transfer-out time of electric load respectively; T e on and T e off represent the minimum transfer-in time and transfer-out time of electric load respectively; Y et and Y e,t-1 represent time t and time t-1 respectively The 0-1 variable of the electric load transfer state is 1 for the transfer out and 0 for the transfer in; P et represents the actual electric load power of the park;
Figure FDA00038430965200000319
Indicates the predicted electric load power; P ekt represents the electric power of the electric load at the kth segment t time;
Figure FDA00038430965200000320
Indicates that it can respond to electrical loads;
Figure FDA00038430965200000321
Indicates the maximum electric power of the kth section; M is a sufficiently large positive number; α et represents the proportion of electric load that can be responded to;
Figure FDA00038430965200000322
Indicates the maximum electric load power at time t;
Figure FDA00038430965200000323
Indicates the overall reduction of electric load;
Figure FDA00038430965200000324
and
Figure FDA00038430965200000325
Respectively represent the heat load transfer-in time and transfer-out time;
Figure FDA00038430965200000326
and
Figure FDA00038430965200000327
respectively represent the minimum heat load transfer-in time and transfer-out time; Y ht and Y h,t-1 respectively represent the 0-1 variable of the heat load transfer state at time t and t-1, the transfer-out is 1, and the transfer-in is 0 ; H ht represents the actual heat load power of the park;
Figure FDA00038430965200000328
Indicates the predicted thermal load power; H hkt indicates the thermal power of the thermal load at the kth segment t time;
Figure FDA0003843096520000041
Indicates that it can respond to thermal load;
Figure FDA0003843096520000042
Indicates the maximum thermal power of section k; α ht indicates the proportion of responsive thermal load;
Figure FDA0003843096520000043
Indicates the maximum thermal load power at time t;
Figure FDA0003843096520000044
Indicates the overall reduction of heat load;
(2.2)V2G约束(2.2) V2G constraints
Figure FDA0003843096520000045
Figure FDA0003843096520000045
Figure FDA0003843096520000046
Figure FDA0003843096520000046
Figure FDA0003843096520000047
Figure FDA0003843096520000047
Figure FDA0003843096520000048
Figure FDA0003843096520000048
Figure FDA0003843096520000049
Figure FDA0003843096520000049
Figure FDA00038430965200000410
Figure FDA00038430965200000410
Figure FDA00038430965200000411
Figure FDA00038430965200000411
Figure FDA00038430965200000412
Figure FDA00038430965200000412
式中:l为电动汽车的索引;
Figure FDA00038430965200000413
表示电动汽车充电状态,充电为1,否则为0;
Figure FDA00038430965200000414
表示电动汽车放电状态,放电为1,否则为0;
Figure FDA00038430965200000415
为接入时刻和充放电时间之和;
Figure FDA00038430965200000416
分别表示电动汽车充、放电功率;Pl c,rate、Pl d,rate分别表示电动汽车额定充电效率和放电功率;
Figure FDA00038430965200000417
表示电动汽车接入时刻的0-1变量,接入时刻为1,其余时刻为0;M表示足够大正数;
Figure FDA00038430965200000418
表示电动汽车电池荷电状态;
Figure FDA00038430965200000419
表示电动汽车初始荷电状态;
Figure FDA00038430965200000420
表示电动汽车t-1时刻的电池荷电状态;ηl ev,c和ηl ev,d分别表示电动汽车充电效率和放电效率;
Figure FDA00038430965200000428
表示电动汽车电池容量;
Figure FDA00038430965200000421
表示电动汽车离开时刻,离开时刻为1,其余时刻为0;
Figure FDA00038430965200000422
表示电动汽车离开时刻电池荷电状态;
Figure FDA00038430965200000423
Figure FDA00038430965200000424
分别表示电池荷电状态的下限和上限;
In the formula: l is the index of the electric vehicle;
Figure FDA00038430965200000413
Indicates the charging state of the electric vehicle, 1 for charging, 0 otherwise;
Figure FDA00038430965200000414
Indicates the discharge state of the electric vehicle, discharge is 1, otherwise it is 0;
Figure FDA00038430965200000415
is the sum of access time and charging and discharging time;
Figure FDA00038430965200000416
respectively represent the charging and discharging power of electric vehicles; P l c,rate and P l d,rate respectively represent the rated charging efficiency and discharging power of electric vehicles;
Figure FDA00038430965200000417
Indicates the 0-1 variable of the access time of the electric vehicle, the access time is 1, and the rest of the time is 0; M indicates a sufficiently large positive number;
Figure FDA00038430965200000418
Indicates the state of charge of the electric vehicle battery;
Figure FDA00038430965200000419
Indicates the initial state of charge of the electric vehicle;
Figure FDA00038430965200000420
Indicates the state of charge of the battery at time t-1 of the electric vehicle; η l ev,c and η l ev,d represent the charging efficiency and discharge efficiency of the electric vehicle, respectively;
Figure FDA00038430965200000428
Indicates the battery capacity of electric vehicles;
Figure FDA00038430965200000421
Indicates the departure time of the electric vehicle, the departure time is 1, and the rest of the time is 0;
Figure FDA00038430965200000422
Indicates the state of charge of the battery when the electric vehicle leaves;
Figure FDA00038430965200000423
and
Figure FDA00038430965200000424
Respectively represent the lower limit and upper limit of the battery state of charge;
(2.3)碳捕集和碳储存约束(2.3) Carbon capture and storage constraints
Figure FDA00038430965200000425
Figure FDA00038430965200000425
Figure FDA00038430965200000426
Figure FDA00038430965200000426
Figure FDA00038430965200000427
Figure FDA00038430965200000427
Figure FDA0003843096520000051
Figure FDA0003843096520000051
Figure FDA0003843096520000052
Figure FDA0003843096520000052
Figure FDA0003843096520000053
Figure FDA0003843096520000053
Figure FDA0003843096520000054
Figure FDA0003843096520000054
Figure FDA0003843096520000055
Figure FDA0003843096520000055
Figure FDA0003843096520000056
Figure FDA0003843096520000056
Figure FDA0003843096520000057
Figure FDA0003843096520000057
Figure FDA0003843096520000058
Figure FDA0003843096520000058
Figure FDA0003843096520000059
Figure FDA0003843096520000059
Figure FDA00038430965200000510
Figure FDA00038430965200000510
Figure FDA00038430965200000511
Figure FDA00038430965200000511
式中:
Figure FDA00038430965200000512
表示园区在t时刻的碳排放量;p、q分别为CHP和燃气轮机的索引;
Figure FDA00038430965200000513
表示第p台CHP在t时刻的碳排放量;
Figure FDA00038430965200000514
表示第q台燃气轮机在t时刻的碳排放量;
Figure FDA00038430965200000515
表示从上级电网购电产生的碳排放量;i为碳捕集机组的索引;
Figure FDA00038430965200000516
表示第i台碳捕集机组捕集的二氧化碳量;
Figure FDA00038430965200000517
Figure FDA00038430965200000518
分别为储碳设备的碳存入量和输出量;
Figure FDA00038430965200000519
表示园区t时刻的购碳量;m为P2G的索引;
Figure FDA00038430965200000520
表示第m台P2G在t时刻的碳消耗量;
Figure FDA00038430965200000521
表示园区t时刻的售碳量;
Figure FDA00038430965200000522
为碳捕集率;
Figure FDA00038430965200000523
和μupper分别表示CHP、燃气轮机和主网的碳排放强度;
Figure FDA00038430965200000524
Figure FDA00038430965200000525
分别表示CHP和燃气轮机在t时刻的出力;
Figure FDA00038430965200000526
表示生成单位功率天然气需要的二氧化碳量;
Figure FDA00038430965200000527
表示第m台P2G的电转气效率;
Figure FDA00038430965200000528
表示第m台P2G在t时刻的耗电功率;LHANG表示天然气低热值;
Figure FDA00038430965200000529
表示储碳设备储碳量;
Figure FDA00038430965200000530
表示储碳设备在t-1时刻的储碳量;ηs为储碳损耗系数;Cs,min和Cs,max分别表示储碳设备的最小储碳量和最大储碳量;Min,min和Min,max表示储碳设备最小碳存入量和最大碳存入量;Mout,min和Mout,max为储碳设备最小碳输出量和最大碳输出量;Mb,max表示园区外购碳量的最大值;Ms,max表示园区售碳量的最大值;
Figure FDA00038430965200000531
表示第i台碳捕集机组t时刻的耗电功率;θ为处理单位二氧化碳的能耗;
Figure FDA00038430965200000532
表示碳捕集设备启停状态,开机为1,关机为0;
Figure FDA0003843096520000061
表示碳捕集设备的固定能耗;
In the formula:
Figure FDA00038430965200000512
Indicates the carbon emissions of the park at time t; p and q are the indexes of CHP and gas turbine respectively;
Figure FDA00038430965200000513
Indicates the carbon emission of the pth CHP at time t;
Figure FDA00038430965200000514
Indicates the carbon emission of the qth gas turbine at time t ;
Figure FDA00038430965200000515
Indicates the carbon emissions generated by purchasing electricity from the upper-level grid; i is the index of the carbon capture unit;
Figure FDA00038430965200000516
Indicates the amount of carbon dioxide captured by the i-th carbon capture unit;
Figure FDA00038430965200000517
and
Figure FDA00038430965200000518
are the carbon storage and output of carbon storage equipment, respectively;
Figure FDA00038430965200000519
Indicates the amount of carbon purchased in the park at time t; m is the index of P2G;
Figure FDA00038430965200000520
Indicates the carbon consumption of the mth P2G at time t;
Figure FDA00038430965200000521
Indicates the amount of carbon sold in the park at time t;
Figure FDA00038430965200000522
is the carbon capture rate;
Figure FDA00038430965200000523
and μ upper represent the carbon emission intensity of CHP, gas turbine and main network respectively;
Figure FDA00038430965200000524
and
Figure FDA00038430965200000525
respectively represent the output of CHP and gas turbine at time t;
Figure FDA00038430965200000526
Indicates the amount of carbon dioxide required to generate unit power of natural gas;
Figure FDA00038430965200000527
Indicates the power-to-gas efficiency of the mth P2G;
Figure FDA00038430965200000528
Indicates the power consumption of the mth P2G at time t; L HANG indicates the low calorific value of natural gas;
Figure FDA00038430965200000529
Indicates the carbon storage capacity of the carbon storage equipment;
Figure FDA00038430965200000530
Indicates the carbon storage capacity of the carbon storage equipment at time t-1; η s is the carbon storage loss coefficient; C s,min and C s,max respectively represent the minimum carbon storage capacity and maximum carbon storage capacity of the carbon storage equipment; Min , min and M in,max represent the minimum carbon storage and maximum carbon storage of carbon storage equipment; M out,min and M out,max are the minimum and maximum carbon output of carbon storage equipment; M b,max represent The maximum amount of purchased carbon in the park; M s,max represents the maximum amount of carbon sold in the park;
Figure FDA00038430965200000531
Indicates the power consumption of the i-th carbon capture unit at time t; θ is the energy consumption per unit of carbon dioxide;
Figure FDA00038430965200000532
Indicates the start-stop status of the carbon capture equipment, 1 for power-on and 0 for power-off;
Figure FDA0003843096520000061
Indicates the fixed energy consumption of carbon capture equipment;
(2.4)能量平衡约束(2.4) Energy balance constraints
Figure FDA0003843096520000062
Figure FDA0003843096520000062
Figure FDA0003843096520000063
Figure FDA0003843096520000063
Figure FDA0003843096520000064
Figure FDA0003843096520000064
式中:
Figure FDA0003843096520000065
Figure FDA0003843096520000066
分别表示第r台风机和第w台光伏t时刻的出力;Pet为t时刻考虑需求响应后的实际电负荷量;n为电锅炉的索引;
Figure FDA0003843096520000067
表示第n台电锅炉在t时刻的耗电功率;
Figure FDA0003843096520000068
为第m台P2G在t时刻产生的气功率;
Figure FDA0003843096520000069
Figure FDA00038430965200000610
分别为储气设备t时刻储存和释放的气功率;
Figure FDA00038430965200000611
Figure FDA00038430965200000612
分别为CHP和燃气轮机消耗的气功率;ηheat为园区的热能利用率;
Figure FDA00038430965200000613
Figure FDA00038430965200000614
分别为CHP和电锅炉的产热功率;
Figure FDA00038430965200000615
Figure FDA00038430965200000616
分别为储热设备储存和释放的热功率;
In the formula:
Figure FDA0003843096520000065
and
Figure FDA0003843096520000066
Respectively represent the output of the rth wind turbine and the wth photovoltaic unit at time t; P et is the actual electric load after considering demand response at time t; n is the index of the electric boiler;
Figure FDA0003843096520000067
Indicates the power consumption of the nth electric boiler at time t;
Figure FDA0003843096520000068
is the gas power generated by the m-th P2G at time t;
Figure FDA0003843096520000069
and
Figure FDA00038430965200000610
are the gas power stored and released by the gas storage device at time t, respectively;
Figure FDA00038430965200000611
and
Figure FDA00038430965200000612
are the gas power consumed by CHP and gas turbine respectively; η heat is the thermal energy utilization rate of the park;
Figure FDA00038430965200000613
and
Figure FDA00038430965200000614
are the heat production power of CHP and electric boiler, respectively;
Figure FDA00038430965200000615
and
Figure FDA00038430965200000616
are the heat power stored and released by the heat storage device, respectively;
(2.5)与主网功率交换约束(2.5) Power exchange constraints with the main network Pin,min≤Pt in≤Pin,max P in,min ≤P t in ≤P in,max Pout,min≤Pt out≤Pout,max P out,min ≤P t out ≤P out,max
Figure FDA00038430965200000617
Figure FDA00038430965200000617
式中:Pin,min和Pin,max分别表示从主网购电的最小和最大电功率;Pout,min和Pout,max分别为向主网售电的最小和最大电功率;Gin,min和Gin,max分别为从主网购气的最小和最大气功率;In the formula: P in,min and P in,max respectively represent the minimum and maximum electric power purchased from the main network; P out,min and P out,max are the minimum and maximum electric power sold to the main network; G in,min and G in,max are the minimum and maximum gas power purchased from the main network, respectively; (2.6)弃风光约束和失负荷约束(2.6) Abandoned wind and light constraints and lost load constraints
Figure FDA00038430965200000618
Figure FDA00038430965200000618
Figure FDA00038430965200000619
Figure FDA00038430965200000619
Figure FDA00038430965200000620
Figure FDA00038430965200000620
Figure FDA00038430965200000621
Figure FDA00038430965200000621
式中:
Figure FDA00038430965200000622
Figure FDA00038430965200000623
分别为允许的弃风比例、弃光比例、失电负荷比例和失热负荷比例;
In the formula:
Figure FDA00038430965200000622
and
Figure FDA00038430965200000623
Respectively, the allowable wind curtailment ratio, solar curtailment ratio, power loss load ratio and heat loss load ratio;
(2.7)运行约束(2.7) Operational constraints (2.7.1)CHP运行约束(2.7.1) CHP operation constraints
Figure FDA0003843096520000071
Figure FDA0003843096520000071
Figure FDA0003843096520000072
Figure FDA0003843096520000072
Figure FDA0003843096520000073
Figure FDA0003843096520000073
Figure FDA0003843096520000074
Figure FDA0003843096520000074
Figure FDA0003843096520000075
Figure FDA0003843096520000075
Figure FDA0003843096520000076
Figure FDA0003843096520000076
Figure FDA0003843096520000077
Figure FDA0003843096520000077
Figure FDA0003843096520000078
Figure FDA0003843096520000078
Figure FDA0003843096520000079
Figure FDA0003843096520000079
式中:
Figure FDA00038430965200000710
Figure FDA00038430965200000711
分别为CHP内溴冷机的制热系数和烟气回收率;
Figure FDA00038430965200000712
为CHP内微燃机的发电效率;
Figure FDA00038430965200000713
为散热损失率;
Figure FDA00038430965200000714
Figure FDA00038430965200000715
分别为CHP的开机成本和关机成本;
Figure FDA00038430965200000716
Figure FDA00038430965200000717
分别为CHP单次开机成本和关机成本;
Figure FDA00038430965200000718
Figure FDA00038430965200000719
分别为CHP在t时刻和t-1时刻的开关机状态,开机为1,关机为0;
Figure FDA00038430965200000720
Figure FDA00038430965200000721
分别为CHP出力的最小电功率和最大电功率;
Figure FDA00038430965200000722
为CHP在t-1时刻的出力;
Figure FDA00038430965200000723
Figure FDA00038430965200000724
分别为CHP的上爬坡率和下爬坡率;
Figure FDA00038430965200000725
分别为CHP的连续开机和关机时间;
Figure FDA00038430965200000726
分别为CHP的最小开机时间和最小关机时间;
In the formula:
Figure FDA00038430965200000710
and
Figure FDA00038430965200000711
Respectively, the heating coefficient and flue gas recovery rate of the CHP internal bromine refrigerator;
Figure FDA00038430965200000712
is the power generation efficiency of the CHP internal micro-combustion engine;
Figure FDA00038430965200000713
is the heat loss rate;
Figure FDA00038430965200000714
and
Figure FDA00038430965200000715
are the start-up cost and shutdown cost of CHP, respectively;
Figure FDA00038430965200000716
and
Figure FDA00038430965200000717
Respectively, CHP single start-up cost and shutdown cost;
Figure FDA00038430965200000718
and
Figure FDA00038430965200000719
Respectively, the switching status of CHP at time t and time t-1, 1 for power-on and 0 for power-off;
Figure FDA00038430965200000720
and
Figure FDA00038430965200000721
Respectively, the minimum electric power and maximum electric power of CHP output;
Figure FDA00038430965200000722
is the contribution of CHP at time t-1;
Figure FDA00038430965200000723
and
Figure FDA00038430965200000724
Respectively, the up-slope rate and the down-slope rate of CHP;
Figure FDA00038430965200000725
Respectively, the continuous power-on and power-off time of CHP;
Figure FDA00038430965200000726
Respectively, the minimum power-on time and the minimum power-off time of CHP;
(2.7.2)燃气轮机运行约束(2.7.2) Gas turbine operating constraints
Figure FDA00038430965200000727
Figure FDA00038430965200000727
Figure FDA00038430965200000728
Figure FDA00038430965200000728
式中:F(·)为燃气轮机的热耗率曲线;
Figure FDA00038430965200000729
分别为CHP的开机成本和关机成本;
Figure FDA00038430965200000730
为燃气轮机出力最小值;
Figure FDA00038430965200000731
为燃气轮机在t时刻的开关机状态,开机为1,关机为0;
Figure FDA0003843096520000081
为燃气轮机在第k段的耗气增量;
Figure FDA0003843096520000082
为燃气轮机在t时刻第k段的电功率;
In the formula: F( ) is the heat rate curve of the gas turbine;
Figure FDA00038430965200000729
are the start-up cost and shutdown cost of CHP, respectively;
Figure FDA00038430965200000730
It is the minimum output value of the gas turbine;
Figure FDA00038430965200000731
is the on/off state of the gas turbine at time t, 1 for power on and 0 for power off;
Figure FDA0003843096520000081
is the gas consumption increment of the gas turbine in the k-th section;
Figure FDA0003843096520000082
is the electric power of the gas turbine at the kth segment at time t;
(2.7.3)P2G运行约束(2.7.3) P2G operation constraints
Figure FDA0003843096520000083
Figure FDA0003843096520000083
Figure FDA0003843096520000084
Figure FDA0003843096520000084
式中:
Figure FDA0003843096520000085
为P2G的电转气效率;
Figure FDA0003843096520000086
Figure FDA0003843096520000087
分别为P2G的最小制气功率和最大制气功率;
In the formula:
Figure FDA0003843096520000085
is the power-to-gas efficiency of P2G;
Figure FDA0003843096520000086
and
Figure FDA0003843096520000087
Respectively, the minimum gas production power and maximum gas production power of P2G;
(2.7.4)电锅炉运行约束(2.7.4) Electric Boiler Operation Constraints
Figure FDA0003843096520000088
Figure FDA0003843096520000088
Figure FDA0003843096520000089
Figure FDA0003843096520000089
式中:
Figure FDA00038430965200000810
为电锅炉的电制热效率;
Figure FDA00038430965200000811
分别为电锅炉的最小制热功率和最大制热功率;
In the formula:
Figure FDA00038430965200000810
is the electric heating efficiency of the electric boiler;
Figure FDA00038430965200000811
Respectively, the minimum heating power and maximum heating power of the electric boiler;
(2.7.5)储气和储热设备运行约束(2.7.5) Operation constraints of gas storage and heat storage equipment
Figure FDA00038430965200000812
Figure FDA00038430965200000812
Figure FDA00038430965200000813
Figure FDA00038430965200000813
Figure FDA00038430965200000814
Figure FDA00038430965200000814
Figure FDA00038430965200000815
Figure FDA00038430965200000815
Figure FDA00038430965200000816
Figure FDA00038430965200000816
Figure FDA00038430965200000817
Figure FDA00038430965200000817
Figure FDA00038430965200000818
Figure FDA00038430965200000818
Figure FDA00038430965200000819
Figure FDA00038430965200000819
式中:
Figure FDA00038430965200000820
Figure FDA00038430965200000821
分别为储气设备的储气功率和放气功率;GGS,in,max和GGS,out,max分别为储气设备的最大储气功率和最大放气功率;
Figure FDA00038430965200000822
Figure FDA00038430965200000823
分别为储气设备在t时刻和t-1时刻的储气容量;ηCGS、ηGS,in和ηGS,out分别为储气设备自耗率、储气效率和放气效率;
Figure FDA00038430965200000824
Figure FDA00038430965200000825
分别为储热设备的储热功率和放热功率;HHS,in,max和HHS,out,max分别为储热设备的最大储热功率和最大放热功率;
Figure FDA00038430965200000826
Figure FDA00038430965200000827
分别为储热设备在t时刻和t-1时刻的储热容量;ηCHS、ηHS,in和ηHS,out分别为储热设备自耗率、储热效率和放热效率;
In the formula:
Figure FDA00038430965200000820
and
Figure FDA00038430965200000821
are the gas storage power and gas discharge power of the gas storage equipment; G GS,in,max and G GS,out,max are the maximum gas storage power and maximum gas discharge power of the gas storage equipment;
Figure FDA00038430965200000822
and
Figure FDA00038430965200000823
are the gas storage capacity of the gas storage equipment at time t and t-1 respectively; η CGS , η GS,in and η GS,out are the self-consumption rate, gas storage efficiency and gas release efficiency of the gas storage equipment, respectively;
Figure FDA00038430965200000824
and
Figure FDA00038430965200000825
are the heat storage power and heat release power of the heat storage equipment, respectively; H HS,in,max and H HS,out,max are the maximum heat storage power and maximum heat release power of the heat storage equipment, respectively;
Figure FDA00038430965200000826
and
Figure FDA00038430965200000827
are the heat storage capacity of the heat storage equipment at time t and t-1, respectively; η CHS , η HS,in and η HS,out are the self-consumption rate, heat storage efficiency, and heat release efficiency of the heat storage equipment, respectively;
(2.8)一般向量形式(2.8) General vector form 将上述确定性优化调度模型写为一般向量形式:Write the above deterministic optimal scheduling model in general vector form:
Figure FDA0003843096520000091
Figure FDA0003843096520000091
s.t.Ax+By+Cv≤b,x∈{0,1}s.t.Ax+By+Cv≤b,x∈{0,1} 式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;
Figure FDA0003843096520000092
Figure FDA0003843096520000093
是目标函数的常系数向量;A、B、C和b分别为约束常系数矩阵和向量。
In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure FDA0003843096520000092
and
Figure FDA0003843096520000093
is the constant coefficient vector of the objective function; A, B, C and b are constrained constant coefficient matrix and vector, respectively.
3.根据权利要求1所述的考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,步骤2所述考虑碳排放、碳捕集、碳储存、碳交易和碳消耗的完整园区综合能源系统碳利用循环具体如下:3. The park integrated energy system scheduling method considering price-based demand response and V2G according to claim 1, characterized in that, in step 2, the integrity of carbon emissions, carbon capture, carbon storage, carbon trading, and carbon consumption is considered. The carbon utilization cycle of the comprehensive energy system in the park is as follows: 碳捕集设备捕集热电联产机组和燃气轮机运行过程中产生的二氧化碳,并将捕集到的二氧化碳直接供给电转气设备产生天然气,富余的二氧化碳存入储碳设备或直接与外界碳市场进行交易或直接排放。Carbon capture equipment captures carbon dioxide produced during the operation of cogeneration units and gas turbines, and supplies the captured carbon dioxide directly to power-to-gas equipment to generate natural gas. The excess carbon dioxide is stored in carbon storage equipment or directly traded with external carbon markets or direct discharge. 4.根据权利要求1所述的考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,步骤3所述考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型具体如下:4. The park integrated energy system scheduling method considering price-based demand response and V2G according to claim 1, characterized in that in step 3, the park integrated energy system considering price-based combined heat and power demand response and V2G is low-carbon and robust The details of the economic dispatch model are as follows: 在考虑价格型需求响应和V2G的园区综合能源系统低碳经济调度确定性模型的基础上,考虑风光出力和负荷预测的不确定性的两阶段鲁棒调度模型如下式所示;该模型的第一阶段为基础场景下园区综合能源系统优化调度、电动汽车充放电状态和价格型需求响应转移状态等决策状态的最优调度方案,第二阶段是在第一阶段的调度方案基础上,根据风光出力波动和负荷实时值调整园区机组出力、V2G和需求响应负荷等以保证系统的安全运行;其中,最大最小子问题用来辨识不确定条件下可能导致园区最大安全越限的最坏场景;Based on the deterministic model of low-carbon economic scheduling of park integrated energy system considering price-based demand response and V2G, the two-stage robust scheduling model considering the uncertainty of wind power output and load forecasting is shown in the following formula; the first part of the model The first stage is the optimal dispatching scheme for decision-making states such as the optimal dispatching of the park’s comprehensive energy system, the charging and discharging state of electric vehicles, and the transition state of price-based demand response under the basic scenario. The second stage is based on the dispatching plan of the first stage, according to the Output fluctuations and load real-time values adjust park unit output, V2G, and demand response loads to ensure safe operation of the system; among them, the maximum and minimum sub-problems are used to identify the worst scenario that may lead to the maximum safety limit of the park under uncertain conditions;
Figure FDA0003843096520000101
Figure FDA0003843096520000101
s.t.Ax+By≤b,x∈{0,1}s.t.Ax+By≤b,x∈{0,1}
Figure FDA0003843096520000102
Figure FDA0003843096520000102
式中:x表示各机组的启停状态、电动汽车的充放电状态和价格型联合热电需求响应的转入转出状态;y表示系统其余调度功率;v表示失负荷量;
Figure FDA0003843096520000103
是目标函数的常系数向量;u为与风电、光伏出力不确定性和负荷值相关的不确定变量;F(x,y)为x与y和相关的函数;εRO表示允许的安全阈值;A、B、C、D、E、F、G、f、b和g分别为约束常系数矩阵和向量。
In the formula: x represents the start-stop state of each unit, the charging and discharging state of electric vehicles, and the transfer-in and transfer-out status of price-type combined heat and power demand response; y represents the remaining dispatching power of the system; v represents the load loss;
Figure FDA0003843096520000103
is the constant coefficient vector of the objective function; u is the uncertain variable related to wind power, photovoltaic output uncertainty and load value; F(x,y) is the function of x and y; ε RO represents the allowable safety threshold; A, B, C, D, E, F, G, f, b, and g are constrained constant coefficient matrices and vectors, respectively.
5.根据权利要求1所述的考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,步骤4所述利用对偶变换、极值点法和CCG法对考虑价格型联合热电需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型求解的过程具体如下:5. The park integrated energy system dispatching method considering price-type demand response and V2G according to claim 1, characterized in that, in step 4, the dual transformation, extreme point method and CCG method are used to consider the price-type combined heat and power demand The process of solving the low-carbon robust economic dispatch model of the integrated energy system of the park in response to and V2G is as follows: (1)园区综合能源系统鲁棒调度主问题:(1) The main problem of robust scheduling of park integrated energy system: 鲁棒调度的主问题目标函数为最大化园区社会福利,约束条件包括基础场景约束以及最坏场景约束;最坏场景所对应的风电出力、光伏出力和负荷实际值
Figure FDA0003843096520000104
由第s次迭代中的子问题中求解得到,S为迭代的总次数;
The objective function of the main problem of robust scheduling is to maximize the social welfare of the park, and the constraints include basic scenario constraints and worst scenario constraints; the worst scenario corresponds to wind power output, photovoltaic output and actual load values
Figure FDA0003843096520000104
It is obtained by solving the subproblems in the sth iteration, and S is the total number of iterations;
Figure FDA0003843096520000105
Figure FDA0003843096520000105
Ax+By≤b,x∈{0,1}Ax+By≤b,x∈{0,1}
Figure FDA0003843096520000106
Figure FDA0003843096520000106
Figure FDA0003843096520000107
Figure FDA0003843096520000107
式中,vs、zs
Figure FDA0003843096520000108
分别为失负荷量、系统连续变量和不确定性变量的第s次迭代值;
In the formula, v s , z s and
Figure FDA0003843096520000108
are respectively the sth iteration values of load loss, system continuous variables and uncertain variables;
(2)园区综合能源系统最坏场景识别子问题:(2) The worst scenario identification sub-problem of the integrated energy system of the park: 双层最大最小子问题是识别最坏场景的问题,寻找到造成系统最大违反安全规定值的场景,即确定最坏场景中不确定量的具体取值;其中,x*和y*由主问题得到,λ是线性不等式约束的对偶变量;The double-layer maximum-minimum sub-problem is the problem of identifying the worst scenario, finding the scenario that causes the maximum violation of the safety regulation value of the system, that is, determining the specific value of the uncertain quantity in the worst scenario; among them, x * and y * are determined by the main problem Obtained, λ is the dual variable of the linear inequality constraint;
Figure FDA0003843096520000111
Figure FDA0003843096520000111
Ez+Fv+Gu≤g-Cx*-Dy*:(λ)Ez+Fv+Gu≤g-Cx * -Dy * :(λ) (3)将双层最大最小子问题利用对偶变换转换为单层最大化问题:(3) Transform the double-layer maximum-minimum subproblem into a single-layer maximization problem using dual transformation:
Figure FDA0003843096520000112
Figure FDA0003843096520000112
s.t.λTE≤fstλ T E ≤ f λTF≤0λ T F ≤ 0 λ≤0λ≤0 (4)利用极值点法求解单层最大化问题内的双线性变量乘积λu问题:(4) Using the extreme point method to solve the bilinear variable product λu problem in the single-layer maximization problem: λu=λ0ub+u+-u- λ u =λ 0 u b+ u +- u - λ=λ0+- λ=λ 0+- β0+-=1β 0+- =1 0M≤λ0≤β0M0 M≤λ 0 ≤β 0 M +M≤λ+≤β+M+ M≤λ + ≤β + M -β-M≤λ-≤β-M-β-M≤λ - ≤β - M 式中:λ0,λ+和λ-为辅助连续变量,β0,β+和β-为辅助0-1变量,对应u取其不确定合集上限u+、均值ub、下限u-的情况;M为一个极大的数;In the formula: λ 0 , λ + and λ - are auxiliary continuous variables, β 0 , β + and β - are auxiliary 0-1 variables, corresponding to u take the upper limit u + , mean u b , and lower limit u - of the uncertain set situation; M is a very large number; (5)CCG法求解提出的考虑价格型需求响应和V2G的园区综合能源系统低碳鲁棒经济调度模型的具体流程:(5) The specific process of CCG method to solve the proposed low-carbon robust economic dispatch model of park integrated energy system considering price-based demand response and V2G: 步骤a:令迭代计数器s=0,设置系统允许的违反安全规定最大值εROStep a: Let the iteration counter s=0, and set the maximum value ε RO that the system allows to violate the security regulations; 步骤b:求解主问题,若有解,得到系统机组启停状态等决策状态x和机组出力安排y,进行步骤c;反之,停止迭代并输出无解;Step b: Solve the main problem. If there is a solution, obtain the decision state x such as the start-stop state of the system unit and the unit output arrangement y, and proceed to step c; otherwise, stop the iteration and output no solution; 步骤c:根据步骤b中求解得到的x和y,求解最大最小子问题,找到导致最大可能违反安全规定值的最坏场景下的风光出力大小和负荷值;Step c: According to the x and y obtained in step b, solve the maximum and minimum sub-problems, and find the wind power output and load value in the worst scenario that may cause the maximum possible violation of safety regulations; 步骤d:如果步骤c中求解出的最大可能违反安全规定值小于εRO,则x和y是最终优化方案并停止迭代;反之,令s=s+1,根据步骤c中求解出来的最坏场景下风电、光伏出力值和负荷值
Figure FDA0003843096520000121
向主问题中增加如下式所示的CCG约束,返回步骤b;
Step d: If the maximum possible safety violation value obtained in step c is less than ε RO , then x and y are the final optimization scheme and the iteration is stopped; otherwise, let s=s+1, according to the worst value obtained in step c Wind power, photovoltaic output value and load value in the scenario
Figure FDA0003843096520000121
Add the CCG constraint shown in the following formula to the main problem, and return to step b;
fTvs≤εRO f T v s ≤ε RO
Figure FDA0003843096520000122
Figure FDA0003843096520000122
式中,vs、zs分别为失负荷量和系统连续变量的第s次迭代值。In the formula, v s and z s are respectively the loss of load and the sth iteration value of the continuous variable of the system.
6.根据权利要求1所述的考虑价格型需求响应和V2G的园区综合能源系统调度方法,其特征在于,步骤5所述园区综合能源系统数据还包括园区综合能源系统具体组成及电-气-热能量流动拓扑,所述园区综合能源系统设备参数包括风机、光伏电池、热电联产机组、燃气轮机、电锅炉、P2G、储气设备、储热设备、电动汽车、碳捕集设备和碳储存设备的数量、容量以及出力/充放电功率上下限,所述园区综合能源系统运行参数包括向上级电网购电价格、向上级气网购气价格、碳交易价格和上述设备的各种运行参数、价格型联合热电需求响应比例以及电热负荷预测数据。6. The park integrated energy system scheduling method considering price-based demand response and V2G according to claim 1, characterized in that, the park integrated energy system data in step 5 also includes the specific composition of the park integrated energy system and the electricity-gas- Thermal energy flow topology, the park’s comprehensive energy system equipment parameters include fans, photovoltaic cells, cogeneration units, gas turbines, electric boilers, P2G, gas storage equipment, heat storage equipment, electric vehicles, carbon capture equipment, and carbon storage equipment The quantity, capacity, and upper and lower limits of output/charging and discharging power. The operating parameters of the park’s comprehensive energy system include electricity purchase prices from the upper-level power grid, gas purchase prices from the upper-level gas network, carbon trading prices, and various operating parameters and price types of the above-mentioned equipment. Combined heat and power demand response ratio and electric heat load forecast data.
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CN117371669A (en) * 2023-12-06 2024-01-09 江苏米特物联网科技有限公司 Park comprehensive energy system operation method considering carbon transaction risk cost
CN117436672A (en) * 2023-12-20 2024-01-23 国网湖北省电力有限公司经济技术研究院 Comprehensive energy operation method and system considering equivalent cycle life and temperature control load
CN117521991A (en) * 2023-09-12 2024-02-06 国网江苏省电力有限公司灌云县供电分公司 A scheduling method for multi-gas and electricity integrated energy systems considering multiple uncertainties

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CN117521991A (en) * 2023-09-12 2024-02-06 国网江苏省电力有限公司灌云县供电分公司 A scheduling method for multi-gas and electricity integrated energy systems considering multiple uncertainties
CN117371669A (en) * 2023-12-06 2024-01-09 江苏米特物联网科技有限公司 Park comprehensive energy system operation method considering carbon transaction risk cost
CN117371669B (en) * 2023-12-06 2024-03-12 江苏米特物联网科技有限公司 Park comprehensive energy system operation method considering carbon transaction risk cost
CN117436672A (en) * 2023-12-20 2024-01-23 国网湖北省电力有限公司经济技术研究院 Comprehensive energy operation method and system considering equivalent cycle life and temperature control load
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